# 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.

Q1:

Given that , find .

• A
• B
• C
• D

Q2:

If , what is ?

• A
• B
• C
• D
• E0

Q3:

Given that find the value of .

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

Q8:

Consider the matrix equation , Find the value of that solves this equation.

Q9:

Given the matrix what is the greatest number for which no entry of is greater than 1?

• A
• B
• C
• D
• E

Q10:

Find numbers , , and so that .

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,