Home
Class 12
MATHS
Statement-1 (Assertion and Statement- 2 ...

Statement-1 (Assertion and Statement- 2 (Reason)
Each of these questions also has four alternative
choices, only one of which is the correct answer. You
have to select the correct choice as given below.
Statement- 1 If A, B, C are matrices such that
`abs(A_(3xx3))=3, abs(B_(3xx3))= -1 and abs(C_(2xx2)) = 2, abs(2 ABC) = - 12.`
Statement - 2 For matrices A, B, C of the same order
`abs(ABC) = abs(A) abs(B) abs(C).`

A

Statement- is true, Statement -2 is true, Statement-2
is a correct explanation for Statement-1

B

Statement-1 is true, Statement-2 is true, Statement - 2
is not a correct explanation for Statement-1

C

Statement 1 is true, Statement - 2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
D
ABC is not defined, as order of A, B and C are such that they
are not conformable for multiplication.
Hence, Statement-1 is false and Statement -2 is true.
Promotional Banner

Similar Questions

Explore conceptually related problems

Statement-1 (Assertion) and Statement- 2 (Reason) Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. Statement-1 if A and B are two square matrices of order nxxn which satisfy AB= A and BA = B, then (A+B) ^(7) = 2^(6) (A+B) Statement- 2 A and B are unit matrices.

Statement -1 (Assertion) and Statement - 2 (Reason) Each of these examples also has four alternative choices, ONLY ONE of which is the correct answer. You have to select the correct choice as given below Statement-1 If A and B are two matrices such that AB = B, BA = A, then A^(2) + B^(2) = A+B. Statement-2 A and B are idempotent matrices, then A^(2) = A, B^(2) = B .

Statement-1(Assertion and Statement -2 (reason) Each of these examples also has four alternative choices, only one of which is the correct answer. You have select the correct choice as given below. Statement-1 If p,q in N satisfy the equation x^sqrtx=(sqrtx)^x and qgtp , then q is a perfect number . statement 2 If a number is equal to the sum of its factor, then number is known as perfect number.

Let A and B be square matrices of the order 3xx3 . Is (AB)^(2)=A^(2)B^(2) ? Given reasons .

Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(adjA) = abs(A)

Show that if A and B are square matrics such that AB=BA , then (A+B)^(2)=A^(2)+2AB+B^(2) .

Factorise a ^(3) - 3a^(2) b + 3ab ^(2) -b ^(3)

For 3xx3 matrices Ma n dN , which of the following statement (s) is (are) NOT correct ?

Answer each question by selecting the proper alternative from those given below each question so as to make the statement true: The point of intersection of the line represented by 3x-2y=6 and the y-axis is ……….. . a) (2,0) b) (0,-3) c) (-2,0) d) (0,-3)