https://www.khanacademy.org/math/algebra-home/alg-matrices/alg-determinant-of-2x2-matrix/v/finding-the-determinant-of-a-2x2-matrix 2021-04-07T12:53:54Z Determinant of a 2x2 matrix Sal shows how to find the determinant of a 2x2 matrix. Sal Khan video https://cdn.kastatic.org/googleusercontent/O8W3VfcQ6KonV7-HyYUvjKbqMoNG2gOugyWr-0tXltgFWTQnw6nr07NCcTSKBNh67kI90nStQ1QfaEAEa_wxIw0 Determinant of a 2x2 matrix Sal shows how to find the determinant of a 2x2 matrix. https://cdn.kastatic.org/ka-youtube-converted/OU9sWHk_dlw.mp4/OU9sWHk_dlw.mp4 70 Determinants https://www.khanacademy.org/math/algebra-home/alg-matrices/alg-determinant-of-2x2-matrix/e/matrix_determinant 2025-05-05T08:14:25.350149109Z Determinant of a 2x2 matrix Find the determinant of a given 2x2 matrix. Stephanie Chang exercise https://www.khanacademy.org/math/algebra-home/alg-matrices/alg-determinants-and-inverses-of-large-matrices/v/finding-the-determinant-of-a-3x3-matrix-method-2 2021-02-05T04:23:34Z Determinant of a 3x3 matrix: standard method (1 of 2) Sal shows the standard method for finding the determinant of a 3x3 matrix. Sal Khan video https://cdn.kastatic.org/googleusercontent/f7Cpq6Z6sXeB8ZbboFIw6p-r7oByEGtj1Pdt8nPxqcIMadMRVGdJ8aIVB_du1ZgZBuzgmFaYO8UPxkVR7w6oLasDTA Determinant of a 3x3 matrix: standard method (1 of 2) Sal shows the standard method for finding the determinant of a 3x3 matrix. https://cdn.kastatic.org/ka-youtube-converted/u00I3MCrspU.mp4/u00I3MCrspU.mp4 237 Determinants https://www.khanacademy.org/math/algebra-home/alg-matrices/alg-determinants-and-inverses-of-large-matrices/v/finding-the-determinant-of-a-3x3-matrix-method-1 2021-02-05T04:23:35Z Determinant of a 3x3 matrix: shortcut method (2 of 2) Sal shows a "shortcut" method for finding the determinant of a 3x3 matrix. Sal Khan video https://cdn.kastatic.org/googleusercontent/05tUhsWQpKHJe4ZEfaOhQCPkAUFxhm91vQZnYjJIYzV8XdBXSgg4GqxQ1612KVt-w3rnLNdGnEoHHswrnRz0-7Y Determinant of a 3x3 matrix: shortcut method (2 of 2) Sal shows a "shortcut" method for finding the determinant of a 3x3 matrix. https://cdn.kastatic.org/ka-youtube-converted/v4MenooI1J0.mp4/v4MenooI1J0.mp4 159 Determinants https://www.khanacademy.org/math/algebra-home/alg-matrices/alg-determinants-and-inverses-of-large-matrices/e/matrix_determinant_3x3 2025-05-05T08:14:25.350149109Z Determinant of a 3x3 matrix Find the determinant of a given 3x3 matrix. Stephanie Chang exercise https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:determinants-ncert-new/x6f66cbee9a2f805b:untitled-852/v/evaluating-determinants-of-scaled-matrices 2025-05-22T13:12:03.767544849Z Evaluating determinants of scaled matrices In this video, we find how scaling a matrix affects its determinant. We first double a 2x2 matrix and triple a 3x3 matrix. We then generalise the results for these matrices for a variable scalar. We finally generalise the same for any non square matrix. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Evaluating determinants of scaled matrices In this video, we find how scaling a matrix affects its determinant. We first double a 2x2 matrix and triple a 3x3 matrix. We then generalise the results for these matrices for a variable scalar. We finally generalise the same for any non square matrix. https://cdn.kastatic.org/ka-youtube-converted/ksbwTVx339M.mp4/ksbwTVx339M.mp4 482 Determinants https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:determinants-ncert-new/x6f66cbee9a2f805b:untitled-852/e/determinants-of-scaled-matrices 2025-08-08T02:45:51.78671331Z Determinants of scaled matrices Determinants of scaled matrices Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:determinants-ncert-new/x6f66cbee9a2f805b:untitled-852/v/evaluating-determinants-involving-variables 2025-05-22T13:12:03.767544849Z Evaluating determinants involving variables In this video, we practice evaluating determinants of matrices with variable elements. We apply algebraic identities to simplify the determinants. For the first problem, we use square of sum identity and for the second one we use cube of sum identity. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Evaluating determinants involving variables In this video, we practice evaluating determinants of matrices with variable elements. We apply algebraic identities to simplify the determinants. For the first problem, we use square of sum identity and for the second one we use cube of sum identity. https://cdn.kastatic.org/ka-youtube-converted/tqECyh--24g.mp4/tqECyh--24g.mp4 406 Determinants https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:determinants-ncert-new/x6f66cbee9a2f805b:untitled-852/e/evaluating-determinants-involving-variables 2025-08-08T02:45:51.78671331Z Evaluating determinants involving variables Evaluating determinants involving variables Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:determinants-ncert-new/x6f66cbee9a2f805b:untitled-852/v/evaluating-determinants-involving-trigonometric-functions 2025-05-22T13:12:03.767544849Z Evaluating determinants involving trigonometric functions In this video, we practice evaluating determinants of matrices with elements involving trigonometric functions. We apply trigonometric identities to simplify the determinants. For the first problem, we eliminate the angle from the determinant. For the second one, we eliminate both the angles from the determinant. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Evaluating determinants involving trigonometric functions In this video, we practice evaluating determinants of matrices with elements involving trigonometric functions. We apply trigonometric identities to simplify the determinants. For the first problem, we eliminate the angle from the determinant. For the second one, we eliminate both the angles from the determinant. https://cdn.kastatic.org/ka-youtube-converted/aYEHh8hVOc4.mp4/aYEHh8hVOc4.mp4 415 Determinants https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:determinants-ncert-new/x6f66cbee9a2f805b:untitled-852/e/determinants-involving-trigonometric-functions 2025-08-08T02:45:51.78671331Z Determinants involving trigonometric functions Determinants involving trigonometric functions Ashish Gupta exercise https://www.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-1/x6a634f0b79812b7f:determinants/v/finding-area-of-a-triangle-using-determinants 2025-05-22T13:12:03.767544849Z Finding area of a triangle using determinants In this video, we practice finding area of a triangle given the coordinates of the vertices of the triangle. We solve three problems where we apply the determinant formula to do the same. Next, we do things in reverse. We use the same formula to find missing coordinates of one of the vertices when the area of the triangle is given. The equations involve the mod sign and hence have more than one solution. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Finding area of a triangle using determinants In this video, we practice finding area of a triangle given the coordinates of the vertices of the triangle. We solve three problems where we apply the determinant formula to do the same. Next, we do things in reverse. We use the same formula to find missing coordinates of one of the vertices when the area of the triangle is given. The equations involve the mod sign and hence have more than one solution. https://cdn.kastatic.org/ka-youtube-converted/D-q4VA8p1aY.mp4/D-q4VA8p1aY.mp4 462 Determinants https://www.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-1/x6a634f0b79812b7f:determinants/e/area-of-triangle-using-determinants 2025-08-08T02:45:51.78671331Z Area of triangle using determinants Area of triangle using determinants Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:determinants-ncert-new/x6f66cbee9a2f805b:untitled-852/v/finding-equation-of-a-line-using-determinants 2025-05-22T13:12:03.767544849Z Finding equation of a line using determinants In this video, we learn how to use the determinant formula to prove that a set of 3 points are collinear. We first understand the concept and then apply it on a practice problem. We then use the determinant formula to find equation of a line given the coordinates of two points lying on the line. We also practice a few problems on finding the equation of lines passing through given pair of points. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Finding equation of a line using determinants In this video, we learn how to use the determinant formula to prove that a set of 3 points are collinear. We first understand the concept and then apply it on a practice problem. We then use the determinant formula to find equation of a line given the coordinates of two points lying on the line. We also practice a few problems on finding the equation of lines passing through given pair of points. https://cdn.kastatic.org/ka-youtube-converted/6BLF3dnziVc.mp4/6BLF3dnziVc.mp4 509 Determinants https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:determinants-ncert-new/x6f66cbee9a2f805b:untitled-852/e/equation-of-a-line-using-determinants 2025-08-08T02:45:51.78671331Z Equation of a line using determinants Equation of a line using determinants Ashish Gupta exercise