https://www.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-1/x6a634f0b79812b7f:matrices/v/equality-of-matrices 2025-05-22T13:12:03.767544849Z Equality of matrices In this video, we learn about equality of matrices. We first understand when can we compare two matrices (when their order is same) and when we can't (when they have different orders). We then find missing elements from equal matrices. We first solve two problems where two unknowns are there before solving a problem with four unknowns. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Equality of matrices In this video, we learn about equality of matrices. We first understand when can we compare two matrices (when their order is same) and when we can't (when they have different orders). We then find missing elements from equal matrices. We first solve two problems where two unknowns are there before solving a problem with four unknowns. https://cdn.kastatic.org/ka-youtube-converted/v4A6F1ROrQY.mp4/v4A6F1ROrQY.mp4 474 Addition of Matrices and Scalar Multiplication https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:adding-and-subtracting-matrices/v/matrix-addition-and-subtraction-1 2026-02-27T05:20:50.375487085Z Adding matrices (with -1 scalar also) Sal defines what it means to add or subtract matrices. He shows a few examples and discusses some important properties of matrix addition and subtraction. Sal Khan video https://cdn.kastatic.org/googleusercontent/zmei0Tqh5SP7PF4-vY6o0abFVM_Rimpu8Tyr7nBA8TsnSXOHottPTvfY5yj1PiqgAt5ePmVqatmI2Nvzv9d-I7Ve Adding matrices (with -1 scalar also) Sal defines what it means to add or subtract matrices. He shows a few examples and discusses some important properties of matrix addition and subtraction. https://cdn.kastatic.org/ka-youtube-converted/WR9qCSXJlyY.mp4/WR9qCSXJlyY.mp4 335 Addition of Matrices and Scalar Multiplication https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:adding-and-subtracting-matrices/e/matrix_addition_and_subtraction 2026-03-24T23:41:07.080866137Z Add & subtract matrices Practice your understanding of the process of adding or subtracting two matrices. Tomer Gal exercise https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:matrices-ncert-new/x6f66cbee9a2f805b:addition-of-matrices/v/properties-of-matrix-addition 2025-05-22T13:12:03.767544849Z Properties of matrix addition In this video, we learn about the properties of matrix addition. We first understand when addition works and look at what these properties mean. We then dive deeper to understand where the properties of addition of real numbers help out with properties of matrix addition. We look at Commutative property of addition, Associative property of addition, Additive identity for addition, Existence of additive inverse, and Closure property of addition. We finally solve a conceptual problem to test our understanding. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Properties of matrix addition In this video, we learn about the properties of matrix addition. We first understand when addition works and look at what these properties mean. We then dive deeper to understand where the properties of addition of real numbers help out with properties of matrix addition. We look at Commutative property of addition, Associative property of addition, Additive identity for addition, Existence of additive inverse, and Closure property of addition. We finally solve a conceptual problem to test our understanding. https://cdn.kastatic.org/ka-youtube-converted/Pz6OPg6dqYk.mp4/Pz6OPg6dqYk.mp4 654 Addition of Matrices and Scalar Multiplication https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:matrices-ncert-new/x6f66cbee9a2f805b:multiplying-by-a-scalar/v/solving-for-matrices-using-addition-properties 2025-05-22T13:12:03.767544849Z Solving for matrices using addition properties In this video, we solve for missing matrices by forming equations. We first solve for a mixxing matrix X. We then solve two problems where we need to solve for two matrices X and Y. For each of these, we apply properties of matrix addition and scalar multiplication to figure things out. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Solving for matrices using addition properties In this video, we solve for missing matrices by forming equations. We first solve for a mixxing matrix X. We then solve two problems where we need to solve for two matrices X and Y. For each of these, we apply properties of matrix addition and scalar multiplication to figure things out. https://cdn.kastatic.org/ka-youtube-converted/JAdHjPCUGIM.mp4/JAdHjPCUGIM.mp4 441 Addition of Matrices and Scalar Multiplication https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:multiplying-matrices-by-scalars/v/scalar-multiplication 2021-03-19T16:21:23Z Multiplying matrices by scalars Sal defines what it means to multiply a matrix by a scalar (in the world of matrices, a scalar is simply a regular number). Sal Khan video https://cdn.kastatic.org/googleusercontent/RI6PSxq86LqdkDW1fzFutzFa-DpiNlmdm47YlUGwNn4HFEhtcDx6coGamBiUS2vjWufpZ1ysiGyCYxJrwY5xg52W Multiplying matrices by scalars Sal defines what it means to multiply a matrix by a scalar (in the world of matrices, a scalar is simply a regular number). https://cdn.kastatic.org/ka-youtube-converted/TbaltFbJ3wE.mp4/TbaltFbJ3wE.mp4 138 Addition of Matrices and Scalar Multiplication https://www.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-1/x6a634f0b79812b7f:matrices/v/properties-of-scalar-multiplication 2025-05-22T13:12:03.767544849Z Properties of scalar multiplication In this video, we learn about properties of scalar multiplication. We first see what these properties mean and then we dive deeper to understand where the properties are coming from. We look at Properties of matrix scalar multiplication, Associative property of scalar multiplication, Distributive properties of scalar multiplicaiton, Multiplicative identity of scalar multiplication, and Multiplicative properties of zero. We finally solve a practice problem to strengthen our concepts. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Properties of scalar multiplication In this video, we learn about properties of scalar multiplication. We first see what these properties mean and then we dive deeper to understand where the properties are coming from. We look at Properties of matrix scalar multiplication, Associative property of scalar multiplication, Distributive properties of scalar multiplicaiton, Multiplicative identity of scalar multiplication, and Multiplicative properties of zero. We finally solve a practice problem to strengthen our concepts. https://cdn.kastatic.org/ka-youtube-converted/XRkB_jWn0bs.mp4/XRkB_jWn0bs.mp4 693 Addition of Matrices and Scalar Multiplication https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:multiplying-matrices-by-scalars/e/scalar_matrix_multiplication 2026-03-24T23:41:07.080866137Z Multiply matrices by scalars Practice your understanding of the process of multiplying a matrix by a scalar. Tomer Gal exercise