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True or false? a. The determinant of a matrix is a scalar. false true b. The determinant of a matrix is always positive since it is the absolute value of a number. false true c. The determinant of a 5 x 6 matrix can be written as a linear combination of the determinants of thirty 1 x 1 matrices. false true = d. If A and B are 1 x 1 matrices, then det A + det B false true det(A + B). e. If A and B are 2 × 2 matrices, then det A + det B = det(A + B). false true

True or false? a. The determinant of a matrix is a scalar. false true b. The determinant of a matrix is always positive since it is the absolute value of a number. false true c. The determinant of a 5 x 6 matrix can be written as a linear combination of the determinants of thirty 1 x 1 matrices. false true = d. If A and B are 1 x 1 matrices, then det A + det B false true det(A + B). e. If A and B are 2 × 2 matrices, then det A + det B = det(A + B). false true

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 43E: True or False ? a The determinant of a 22 matrix A is a21a12a11a22. b The determinant of a matrix of...
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True or false? a. The determinant of a matrix is a scalar. false true b. The determinant of a matrix is always positive since it is the absolute value of a number. false true c. The determinant of a 5 × 6 matrix can be written as a linear combination of the determinants of thirty 1 x 1 matrices. false true d. If A and B are 1 × 1 matrices, then det A + det B = det(A + B). false true e. If A and B are 2 × 2 matrices, then det A + det B = det(A + B). false true
Transcribed Image Text:True or false? a. The determinant of a matrix is a scalar. false true b. The determinant of a matrix is always positive since it is the absolute value of a number. false true c. The determinant of a 5 × 6 matrix can be written as a linear combination of the determinants of thirty 1 x 1 matrices. false true d. If A and B are 1 × 1 matrices, then det A + det B = det(A + B). false true e. If A and B are 2 × 2 matrices, then det A + det B = det(A + B). false true
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