Consider matrix A. A=[−385−123]

What matrix results from the elementary row operations represented by −3R2+4R1?

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Step-by-step explanation:

Given the matrix A

We are to find the matrix that results from the elementary row operations represented by −3R2+4R1

R2 means row 2

R1 means row 1

Applying the elementary row operation will change the second row of the matrices.

For the first column, second row (a₂₁)

If R1 = -3, R2 = -1

a₂₁ = -3R2+4R1

a₂₁ = -3(-1)+4(-3)

a₂₁ = 3-12

a₂₁ = -9

For a₂₂

If R1 = 8, R2 = 2

a₂₂ = -3R2+4R1

a₂₂ = -3(2)+4(8)

a₂₂ = -6+32

a₂₂ = 26

For a₂₃

If R1 = 5, R2 = 3

a₂₃ = -3R2+4R1

a₂₃ = -3(3)+4(5)

a₂₃ = -9+20

a₂₃ = 11

Hence the resulting matrix will be:

-3R2+4R1

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