Maths-

General

Easy

Question

# If A = , then (A –2I) (A –3I) =

- A
- I
- 0
- 5I

## The correct answer is: 0

= = = 0

### Related Questions to study

maths-

### Let A = . If | A^{2} | = 25, then || equals -

### Let A = . If | A^{2} | = 25, then || equals -

maths-General

maths-

### For the matrix A = , which is correct -

### For the matrix A = , which is correct -

maths-General

maths-

### If X = , then X^{n}, for n N, is equal to -

### If X = , then X^{n}, for n N, is equal to -

maths-General

maths-

### If A, B and C are three square matrices of the same size such that B = CAC^{–1}, then CA^{3}C^{–1} is equal to -

### If A, B and C are three square matrices of the same size such that B = CAC^{–1}, then CA^{3}C^{–1} is equal to -

maths-General

maths-

### If A = , n N, then A^{4n} equals -

### If A = , n N, then A^{4n} equals -

maths-General

maths-

### Let a matrix A = , P = , Q = PAP^{T} where P^{T} is transpose of matrix P. then P^{T} Q^{2005} P is-

### Let a matrix A = , P = , Q = PAP^{T} where P^{T} is transpose of matrix P. then P^{T} Q^{2005} P is-

maths-General

maths-

### Let P be a non-singular matrix 1 + P + P^{2} +….. + P^{n} = O(O denotes the null matrix), then P^{–1} is-

### Let P be a non-singular matrix 1 + P + P^{2} +….. + P^{n} = O(O denotes the null matrix), then P^{–1} is-

maths-General

maths-

### Let A = and B = then AB = 0, if-

### Let A = and B = then AB = 0, if-

maths-General

chemistry-

Increasing order of strength of oxo-acids of chlorine is:

Increasing order of strength of oxo-acids of chlorine is:

chemistry-General

maths-

### If k is an orthogonal matrix then k is equal to-

### If k is an orthogonal matrix then k is equal to-

maths-General

maths-

### If A = , B = and X is a matrix such that A = BX, then X equals-

### If A = , B = and X is a matrix such that A = BX, then X equals-

maths-General

maths-

### If A is a square matrix such that A^{2} = A, then |A| equals-

### If A is a square matrix such that A^{2} = A, then |A| equals-

maths-General

maths-

### The value(s) of m does the system of equations 3x + my = m and 2x – 5y = 20 has a solution satisfying the conditions x > 0, y > 0

### The value(s) of m does the system of equations 3x + my = m and 2x – 5y = 20 has a solution satisfying the conditions x > 0, y > 0

maths-General

maths-

### If A^{k} = 0, for some value of k, (I – A)^{p} = I + A + A^{2} + …. A^{k–1}, thus p is (A is nilpotent with index k).

### If A^{k} = 0, for some value of k, (I – A)^{p} = I + A + A^{2} + …. A^{k–1}, thus p is (A is nilpotent with index k).

maths-General

maths-

### If the matrix A = has rank 3, then -

### If the matrix A = has rank 3, then -

maths-General