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Chapter 6: Q35E (page 309)

If detA=detB for two n脳n matrices A and B, thenAmust be similar to B .

Short Answer

Expert verified

Therefore, the A and B are not similar. So, the given statement is not satisfied.

Step by step solution

01

Matrix Definition

Matrix is a set of numbers arranged in rowsand columns so as to form a rectangular array.

The numbers are called the elements, or entries, of the matrix.

If there are m rows and n columns, the matrix is said to be an 鈥渕 by n鈥� matrix, written 鈥� m脳n.鈥�

02

To check whether the given condition is true or false

For example,

A=1101,

localid="1659530638039" B=l2.

Clearly

detA=detB

detA=1,

but A and B are not similar.

Therefore, the A and B are not similar. So, the given statement is not satisfied.

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