https://www.khanacademy.org/math/algebra-home/alg-matrices/alg-intro-to-matrix-inverses/v/singular-matrices 2021-04-07T12:54:01Z Determining invertible matrices Sal shows why a matrix is invertible if and only if its determinant is not 0. Sal Khan video https://cdn.kastatic.org/googleusercontent/tZj7kLtIRp1bdUwl-CoTBnYO2khps6j7W6HjcMkwmWgZ0PPvHxR09ILUYeRdnfVdfCOfnIIAHQN2XvsPKKmghtUK Determining invertible matrices Sal shows why a matrix is invertible if and only if its determinant is not 0. https://cdn.kastatic.org/ka-youtube-converted/UqyN7-tRS00.mp4/UqyN7-tRS00.mp4 867 Inverse of a matrix https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:intro-to-matrix-inverses/v/invertible-matrices-and-determinants 2022-10-07T00:22:18.752150461Z Invertible matrices and determinants An invertible matrix is a matrix that has an inverse. In this video, we investigate the relationship between a matrix's determinant, and whether that matrix is invertible. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/bf684400-4638-4047-af06-11ec9bf64ea2_1280_720_base.png Invertible matrices and determinants An invertible matrix is a matrix that has an inverse. In this video, we investigate the relationship between a matrix's determinant, and whether that matrix is invertible. https://cdn.kastatic.org/ka-youtube-converted/GuFvSwriy1Q.mp4/GuFvSwriy1Q.mp4 282 Inverse of a matrix https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:practice-finding-inverses-of-2x2-matrices/e/matrix_inverse_2x2 2026-03-24T23:41:07.080866137Z Find the inverse of a 2x2 matrix Find the inverse of a 2x2 matrix. Tomer Gal exercise https://www.khanacademy.org/math/algebra-home/alg-matrices/alg-determinants-and-inverses-of-large-matrices/v/inverting-3x3-part-1-calculating-matrix-of-minors-and-cofactor-matrix 2021-02-05T04:23:35Z Inverting a 3x3 matrix using determinants Part 1: Matrix of minors and cofactor matrix Sal shows how to find the inverse of a 3x3 matrix using its determinant. In Part 1 we learn how to find the matrix of minors of a 3x3 matrix and its cofactor matrix. Sal Khan video https://cdn.kastatic.org/googleusercontent/VFoUY4Tb7tiqreXMgm3oKyXVpDcgRDl4qzJ3wkqpWvDK6_pP3EQOYgkunclpYCAJJy954PxHkUKB_WzyqRsmPMNuHg Inverting a 3x3 matrix using determinants Part 1: Matrix of minors and cofactor matrix Sal shows how to find the inverse of a 3x3 matrix using its determinant. In Part 1 we learn how to find the matrix of minors of a 3x3 matrix and its cofactor matrix. https://cdn.kastatic.org/ka-youtube-converted/xZBbfLLfVV4.mp4/xZBbfLLfVV4.mp4 527 Inverse of a matrix https://www.khanacademy.org/math/algebra-home/alg-matrices/alg-determinants-and-inverses-of-large-matrices/v/inverting-3x3-part-2-determinant-and-adjugate-of-a-matrix 2021-02-05T04:23:35Z Inverting a 3x3 matrix using determinants Part 2: Adjugate matrix Sal shows how to find the inverse of a 3x3 matrix using its determinant. In Part 2 we complete the process by finding the determinant of the matrix and its adjugate matrix. Sal Khan video https://cdn.kastatic.org/googleusercontent/HjbcA6GCOwBFYHU2IiQTR5qmk_w41f2pFcrTucwIgERMhbRzDTF6_mJmokZiOSK_SNUfGgDpP-45zumoKa0I9n_Cfw Inverting a 3x3 matrix using determinants Part 2: Adjugate matrix Sal shows how to find the inverse of a 3x3 matrix using its determinant. In Part 2 we complete the process by finding the determinant of the matrix and its adjugate matrix. https://cdn.kastatic.org/ka-youtube-converted/ArcrdMkEmKo.mp4/ArcrdMkEmKo.mp4 383 Inverse of a matrix https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:determinants-ncert-new/x6f66cbee9a2f805b:inverse-of-a-matrix/v/matrix-inverse-using-equations 2025-05-22T13:12:03.767544849Z Matrix inverse using equations In this video, we learn how to find the inverse of a matrix using the equation it satisfies. We first solve 2 problems where the given equation is a quadratic. To find the inverse, we postmultiply both sides with the inverse and use the fact that a matrix multiplied by its inverse gives the identity matrix. In the third problem, we also have to find the square of the matrix in order to find the inverse. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Matrix inverse using equations In this video, we learn how to find the inverse of a matrix using the equation it satisfies. We first solve 2 problems where the given equation is a quadratic. To find the inverse, we postmultiply both sides with the inverse and use the fact that a matrix multiplied by its inverse gives the identity matrix. In the third problem, we also have to find the square of the matrix in order to find the inverse. https://cdn.kastatic.org/ka-youtube-converted/urSbiC_iSz4.mp4/urSbiC_iSz4.mp4 576 Inverse of a matrix https://www.khanacademy.org/math/algebra-home/alg-matrices/alg-determinants-and-inverses-of-large-matrices/e/matrix_inverse_3x3 2026-03-24T23:41:07.080866137Z Inverse of a 3x3 matrix Find the inverse of a given 3x3 matrix. Stephanie Chang exercise https://www.khanacademy.org/math/algebra-home/alg-matrices/alg-intro-to-matrix-inverses/e/determine-inverse-matrices 2025-05-05T08:14:25.350149109Z Determine inverse matrices Given a pair of matrices, determine whether they are inverses of each other. Sulinya exercise https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:determinants-ncert-new/x6f66cbee9a2f805b:inverse-of-a-matrix/e/matrix-inverse-using-equations 2025-08-08T02:45:51.78671331Z Matrix inverse using equations Matrix inverse using equations Ashish Gupta exercise