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 Multiplying by a scalar 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 Multiplying by a scalar https://www.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-1/x6a634f0b79812b7f:matrices/e/properties-of-matrix-scalar-multiplicaiton 2025-08-08T02:45:51.78671331Z Properties of Matrix Scalar Multiplicaiton Properties of Matrix Scalar Multiplicaiton Ashish Gupta exercise 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 Multiplying by a scalar https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:matrices-ncert-new/x6f66cbee9a2f805b:multiplying-by-a-scalar/e/solving-for-matrices-as-variables 2025-08-08T02:45:51.78671331Z Solving for Matrices as Variables Solving for Matrices as Variables Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:matrices-ncert-new/x6f66cbee9a2f805b:multiplying-by-a-scalar/v/solving-for-elements-using-addition-properties 2025-05-22T13:12:03.767544849Z Solving for elements using addition properties In this video, we solve matrix equations to find unknowns. For the first two problems, we solve equations involving two variables. For the next two, we solve equations involving four variables. We cover cases with variables as elements as well as scalars. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Solving for elements using addition properties In this video, we solve matrix equations to find unknowns. For the first two problems, we solve equations involving two variables. For the next two, we solve equations involving four variables. We cover cases with variables as elements as well as scalars. https://cdn.kastatic.org/ka-youtube-converted/V97h8jyipcE.mp4/V97h8jyipcE.mp4 380 Multiplying by a scalar https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:matrices-ncert-new/x6f66cbee9a2f805b:multiplying-by-a-scalar/e/solving-for-elements-in-matrix-equations 2025-08-08T02:45:51.78671331Z Solving for Elements in Matrix Equations Solving for Elements in Matrix Equations Ashish Gupta exercise https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:properties-of-matrix-addition-and-scalar-multiplication/a/properties-of-matrix-scalar-multiplication 2021-04-29T07:53:11Z Properties of matrix scalar multiplication Learn about the properties of matrix scalar multiplication (like the distributive property) and how they relate to real number multiplication. article 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