Scalar and Matrix Multiplication

Question 1

Choose one:

Revolt · Accepted Answer

B: 3 x 1

Question 2

b1 =

Revolt · Accepted Answer

Part 1: -21; Part 2: 33; Part 3: 6

Question 3

Which of the following statements are true about scalar multiplication of matrices?You can multiply a matrix of any size by a scalar.For any matrix A, 1 × A = A.For any scalar r, rI = I, where I is the identity matrix.You can scale geometric figures using scalar multiplication.Scalar multiplication is a shortcut for repeated addition of the same matrix.Scalar multiplication is not possible for matrices that are not square.

Revolt · Accepted Answer

A: You can multiply a matrix of any size by a scalar.; B: For any matrix A, 1 × A = A.; D: You can scale geometric figures using scalar multiplication.; E: Scalar multiplication is a shortcut for repeated addition of the same matrix.

Question 4

Question 4

Revolt · Accepted Answer

C:

Question 5

Which products can be found by matrix multiplication?

Revolt · Accepted Answer

B: BA; C: CB; F: DE; G: EF

Question 6

Multiplies every element of a matrix by the same number:

Revolt · Accepted Answer

: Scalar; : Neither; : Matrix; : Matrix

Question 7

Given the matrices: What is the size of the product C = AB? x

Revolt · Accepted Answer

Part 1: 2; Part 2: 2

Question 8

Multiply the matrix representing the vertices of the rectangle to transform the figure.What are the coordinates of the resulting figure?

Revolt · Accepted Answer

C: (0, 0), (4, 0), (4, –4), (0, –2)

Question 9

The following transformation uses both scalar and matrix multiplication.What are the coordinates of the resulting figure?

Revolt · Accepted Answer

D: (0, 0), (0, –8), (–4,–8), (–8,0)

Question 10

Do these procedures yield the same result?1. First do the scalar multiplication, then do the matrix multiplication.2. First do the matrix multiplication, then do the scalar multiplication.

Revolt · Accepted Answer

A: yes

Scalar and Matrix Multiplication Answers

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