Multiplying matrices

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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]]

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• undefined

Answer explanation

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]]

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

multiply

• undefined

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Simplify.

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Matrices: Multiplication by Scaler

• 25

  -25

  5

• 10

  10

  6

• 0

  0

  -4

• 25

  25

  5