   Chapter 11.CR, Problem 11CC ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# (a) Is it true that the determinant det A of a matrix A is defined only if A is a square matrix?(b) Find the determinant of the matrix A that you found in 10(a).(c) Use Cramer’s Rule to solve the system in 10.

To determine

(a)

Whether the determinant detA of a matrix A is defined only if A is a square matrix.

Explanation

If A is an n×n matrix, then the determinant of A is obtained by multiplying each element of the first row by its cofactor and then adding the results.

Therefore, the determinant detA

To determine

(b)

The determinant of the matrix A.

To determine

(c)

The solution of the system.

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