The following elementary matrix multiplications realize the row reduction of the matrix A: A → 1 0 1 0 0 0 1 0 0 ⠀⠀⠀⠀⠀ 1 E₁A → 0 1 0 E₂E₁A → 0 -5 0 E3E₂E₁A = 0 0 0 1 E₁ 1 0 0 1 0 A → 0 0 1 0 1 0 E₂ 1 0 0 0 0 -4 What is the determinant of the row echelon form of A? (The matrix R on the right.) det(R) = Using the determinant of Rand the way it was obtained from Al, compute: det(A) = E4 5 0 3 -4 0 -2 4

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A: Step 1: Given B=⎩⎪⎨⎪⎧​⎣⎢⎡​120​⎦⎥⎤​,⎣⎢⎡​10−1​⎦⎥⎤​⎭⎪⎬⎪⎫​, and w=⎣⎢⎡​162​⎦⎥⎤​. Step 2: We want to solve…

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