Maths-

General

Easy

Question

# If A = and A^{2} + kI = 8A, then k equals

- 4
- 8
- ¼
- 1/16

## The correct answer is: 8

### To find the value of k.

Given, A = and + kI = 8A.

x + k x = 8 x

+ =

comparing on both sides,

16+k=24

k=8

Therefore, the value of k is 8.

### Related Questions to study

Maths-

### If A and B are matrices of order m × n and n × n respectively, then which of the following are defined-

### If A and B are matrices of order m × n and n × n respectively, then which of the following are defined-

Maths-General

chemistry-

### the products (A) and (B) are:

### the products (A) and (B) are:

chemistry-General

Maths-

### A matrix A = (aij) m x n is said to be a square matrix if-

### A matrix A = (aij) m x n is said to be a square matrix if-

Maths-General

Maths-

### For any square matrix A = [aij], aij = 0, when i j, then A is-

### For any square matrix A = [aij], aij = 0, when i j, then A is-

Maths-General

maths-

### The multiplicative inverse of A =is

### The multiplicative inverse of A =is

maths-General

chemistry-

### (A) and (B) are:

### (A) and (B) are:

chemistry-General

maths-

### A = , then A^{3} – 4A^{2} – 6A is equal to -

### A = , then A^{3} – 4A^{2} – 6A is equal to -

maths-General

maths-

### Inverse of the matrix is

### Inverse of the matrix is

maths-General

maths-

### If A = and A^{2} – 4A – n I = 0, then n is equal to

### If A = and A^{2} – 4A – n I = 0, then n is equal to

maths-General

maths-

### The value of x for which the matrix product equal an identity matrix is :

### The value of x for which the matrix product equal an identity matrix is :

maths-General

maths-

### If A = , then A^{–1} is equal to :

### If A = , then A^{–1} is equal to :

maths-General

maths-

### If A is a singular matrix, then adj A is :

### If A is a singular matrix, then adj A is :

maths-General

Maths-

Statement - I The value of x for which (sin x + cos x)^{1 + sin 2x} = 2, when 0 ≤ x ≤ , is only.

Statement - II The maximum value of sin x + cos x occurs when x =

Statement - I The value of x for which (sin x + cos x)^{1 + sin 2x} = 2, when 0 ≤ x ≤ , is only.

Statement - II The maximum value of sin x + cos x occurs when x =

Maths-General

maths-

### If [1 2 3 ]A = [4 5], the order of matrix A is :

### If [1 2 3 ]A = [4 5], the order of matrix A is :

maths-General

maths-

### Let A and B be 3 × 3 matrices, then AB = O implies:

### Let A and B be 3 × 3 matrices, then AB = O implies:

maths-General