Lesson Worksheet: Scalar Multiplication of Matrices Mathematics • 10th Grade
In this worksheet, we will practice multiplying a scalar by a matrix and identifying the properties of their multiplication.
True or False: The multiplication of a matrix by a scalar is distributive with respect to matrix addition, that is, for any scalar and any matrices and such that their addition is defined.
True or False: Since the scalar multiplication of a zero matrix produces a zero matrix, it follows that , where is a scalar and is a zero matrix.
True or False: The multiplication of a matrix by a scalar is associative, that is, for any matrix and any scalars and .
Given the matrix
what is ?