Consider a nonsingular matrix with real entries. If the matrix is derived from by interchanging the first and last columns of , then the determinant of , denoted , is equal to
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DSE 2010 Question 6: Matrices, determinants and linear systems
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Consider a 3× 3 nonsingular matrix A with real entries. If the matrix B is derived from A by interchanging the first and last columns of A, then the determinant of B, denoted det B, is equal to (A) det A (B) -det A (C) 0 (D) 1/det A
Also written as: Consider a 3* 3 nonsingular matrix A with real entries. If the matrix B is derived from A by interchanging the first and last columns of A, then the determinant of B, denoted det B, is equal to
Matrices, determinants and linear systems has come up 102 times in 7 exams since 2006.
What this question tests
This question is on Determinants and their properties, part of Matrices, determinants and linear systems in Mathematics.
Computing determinants and how row and column operations change them.
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