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Chapter 4: Q3. (page 198)

Create a square matrix that does not have an inverse.

Short Answer

Expert verified

The square matrix that does not have an inverse is:1224.

Step by step solution

01

­- Description of step.

A square matrix is a matrix which has same number of rows and columns.

02

­- Description of step.

A square matrix A does not have its inverse ifA=0.

Therefore, to create a square matrix that does not have its inverse, create a matrix which is having it鈥檚 determinant as 0.

03

­- Description of step. 

Consider the matrix Aas localid="1648139074688" 1224.

Notice that:

1224=14鈭�22=4鈭�4=0

As, A=0, therefore the matrix Awill not have an inverse.

Therefore, the square matrix that does not have an inverse is: localid="1648139087180" 1224.

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Most popular questions from this chapter

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.

14.41鈭�2+6鈭�58

Find each value if fx=x2-3x+2.

f0

Determine the row and column which 100 occur.

1361015鈥�2591420鈥�48131926鈥�712182533鈥�1117243241鈥�1623314050鈥�鈰�鈰�鈰�鈰�鈰�鈰�

For exercises 26 and 27, use the advertisement shown at the right.

What are the dimensions of the matrix?

Solve each equation.

3x-5x+y129z=108123x+y
See all solutions

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