Consider the following Gauss elimination: Γ1 0 07 A 0 1 0A0 -30E₁A→ 0 1 0 E₂E₁A →→ ⠀⠀⠀⠀⠀⠀ 004 E [105] 0 0 1 E₁ What is the determinant of A? det (A) = [1 0 01 0 0 1 E₂ [100] 0 0 1 E3E₂E₁A = 0 1 0 E [8 04
Consider the following Gauss elimination: Γ1 0 07 A 0 1 0A0 -30E₁A→ 0 1 0 E₂E₁A →→ ⠀⠀⠀⠀⠀⠀ 004 E [105] 0 0 1 E₁ What is the determinant of A? det (A) = [1 0 01 0 0 1 E₂ [100] 0 0 1 E3E₂E₁A = 0 1 0 E [8 04
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 52EQ: In Exercises 47-52, assume that A and B are nn matrices with det A = 3 and det B=2. Find the...
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