Let A be an nxn matrix. Determine whether the statement below is true or false. Justify the answer. The (ij)-cofactor of a matrix A is the matrix A, obtained by deleting from A its ith row and jth column. Choose the correct answer below. O A. The statement is false. The (i.j)-cofactor of A is the number C = (- 1)'*'det(A), where A is the submatrix obtained by deleting from A its ith row and jth column. O B. The statement is false. The (ij)-cofactor of a matrix A is the matrix Aj obtained by deleting from A its įth row and ith column. O C. The statement is false. The (i,j)-cofactor of A is the number C = det (A), where Aj is the submatrix obtained by deleting from A its ith row and jth column. O D. The statement is true. It is the definition of the (i,j)-cofactor of a matrix A.

Let A be an nxn matrix. Determine whether the statement below is true or false. Justify the answer. The (ij)-cofactor of a matrix A is the matrix A, obtained by deleting from A its ith row and jth column. Choose the correct answer below. O A. The statement is false. The (i.j)-cofactor of A is the number C = (- 1)'*'det(A), where A is the submatrix obtained by deleting from A its ith row and jth column. O B. The statement is false. The (ij)-cofactor of a matrix A is the matrix Aj obtained by deleting from A its įth row and ith column. O C. The statement is false. The (i,j)-cofactor of A is the number C = det (A), where Aj is the submatrix obtained by deleting from A its ith row and jth column. O D. The statement is true. It is the definition of the (i,j)-cofactor of a matrix A.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.2: Matrix Algebra

Problem 44EQ

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