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.
Q4:
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.
- AFalse
- BTrue
Q5:
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.
- AFalse
- BTrue
Q6:
True or False: The multiplication of a matrix by a scalar is associative, that is, for any matrix and any scalars and .
- AFalse
- BTrue
Q7:
Given the matrix
what is ?
- A
- B
- C
- D
- E