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

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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