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Chapter 6: Q30E (page 309)

There exist invertible2脳2matrices A andBsuch thatdet(A+B)=detA+detB .

Short Answer

Expert verified

Therefore,

det(A+B)=detA+detB.

Yes the statement is true.

Step by step solution

01

Matrix Definition

Matrix is aset of numbers arranged in rows and columns so as to form a rectangulararray.

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� m by n 鈥� matrix, written 鈥�m脳n .鈥�

02

To check whether the given condition is true or false

Let,

For example,

A=1101,

B=0-111,

Indeed,

detA+B=1012

det(A+B)=2

det(A+B)=detA+detB

Yes the statement is true.

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Most popular questions from this chapter

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