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Chapter 11: Q. 66 (page 756)

Show that each matrix has no inverse.

11-32-41-571

Short Answer

Expert verified

The given matrix inverse is not possible

Step by step solution

01

Step 1.Given information

Given matrix11-32-41-571

02

Step 2.Inverse matrix

Consider the matrix .To check the inverse of the matrix we have to reduce to row echelon .

[A|I3]=11-32-41-571100010001{R2鈫�R2-2R1;R3鈫�R3+5R1=11-30-67012-14100-210501{R3鈫�R3+2R2}=11-30-67000100-210121

03

step 3.The solution

The matrix A|I3 is reduced the identical matrix cannot appeared .

So inverse of the given matrix is not possible.

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