Question: Let A be a 3x3 matrix. The elementary row operation of adding k times the first row to the third is equivalent to multiplying

Let A be a 3x3 matrix. The elementary row operation of adding k times the first row to the third is equivalent to multiplying A on the left by the matrix 1 0 0 G= 0 1 0 k 0 1 (a) Show that det(G) = 1. (b) What is the effect of row augmentation on the value of the determinant of a matrix?

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