Matrix With Scalar

Calculate the following scalar multiplication.

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If A = [[1, 2], [3, 4]] and k = 2, what is the result of kA?

• [[2, 4], [6, 8]]

• [[3, 6], [9, 12]]

• [[4, 8], [12, 16]]

• [[5, 10], [15, 20]]

What is the definition of scalar multiplication of matrices?

• Scalar multiplication is the process of finding the determinant of a matrix

• Scalar multiplication of matrices is the process of multiplying each element of a matrix by a scalar (a single number).

• Scalar multiplication is the process of adding two matrices together

• Scalar multiplication is the process of dividing each element of a matrix by a scalar

What do m, n, p and q equal in this scalar matrix multiplication?

• m=8, n=9, p=-4, q=4 

• m=15, n = -45, p=20, q=-5

• m=20, n=-5, p=15, q=-45

• m=-5, n=20, p=-45, q=15

Bonus Point! 3A=?

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If F = [[-4, 3], [2, -1]] and p = -1, what is the result of pF?

• [[-4, 3], [2, -1]]

• [[-3, 4], [1, -2]]

• [[4, -3], [-2, 1]]

• [[3, -4], [-1, 2]]

Matrices: Multiplication by Scaler

• 25

  -25

  5

• 10

  10

  6

• 0

  0

  -4

• 25

  25

  5

What do w, x, y and z equal in this matrix subtraction?

• w = 13, x = 4, y = 7, z = 23

• w = 13, x = -4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 17

What do a, b, c and d equal in this matrix addition?

• a = -1, b = 10, c = 7, d = -11

• a = -1, b = 10, c = -11, d = 7

• a = 10, b = -1, c = 7 , d = -11 

• a = 10, b = -1, c = -11, d = 7

What is a₂₃

• 14

• 4

• 1

• 3