Let A be an n x n matrix and let C be the matrix of cofactors of A. Let b be a vector of length n. Consider the formula f(b) = b₁C₁1 + b₂C21 +...+bnCn1. Which of the following statements is true? O f(b) is the value of the determinant of the matrix found by replacing the 1st column of A with the vector b. f(b) is the value of the determinant of the matrix found by replacing the 1st row of A with the vector b. ƒ(b) = 0 f(b) = 0 necessarily if |A| = 0
Let A be an n x n matrix and let C be the matrix of cofactors of A. Let b be a vector of length n. Consider the formula f(b) = b₁C₁1 + b₂C21 +...+bnCn1. Which of the following statements is true? O f(b) is the value of the determinant of the matrix found by replacing the 1st column of A with the vector b. f(b) is the value of the determinant of the matrix found by replacing the 1st row of A with the vector b. ƒ(b) = 0 f(b) = 0 necessarily if |A| = 0
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 15CR
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