Home
Class 12
MATHS
If A is a square matrix such that A...

If A is a square matrix such that ` A^2 =A ` then `(I+A)^2 -7A `=……

A

I

B

`I-A`

C

`A`

D

`3A`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-A)|20 Videos
  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-B)|16 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 6 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

If A is square matrix such that A^(2)=A , then (I+A)^(3)-7A is equal to ……..

If A is a square matrix such that A^(2)=I then (A-I)^(3)+(A+I)^(3)-7A is equal to …….

If A is square matrix such that A^(2)=A , show that (I+A)^(3)=7A+I .

If A is a square matrix and A^2=A" then |A|=……..

If A is a square matrix then A - A' is a …… matrix.

If A is any square matrix then AA' is a ………. Matrix.

If A is a square matrix and |A| = 2 then |A|^n = ………. . Where n is positive integer.

A =[a_(ij)]_(mxxn) is a square matrix ,if

If P is a 3xx3 matrix such that P^T = 2P+I , where P^T is the transpose of P and I is the 3xx3 identity matrix, then there exists a column matrix, X = [[x],[y],[z]]!=[[0],[0],[0]] such that

Prove that if A is a square matrix then ,(i) (A+A') is a symmetric metrix. (ii) (A-A') is a skew symmetric matrix.