Home
Class 12
MATHS
Let Aa n dB be two 2xx2 matrices. Consid...

Let `Aa n dB` be two `2xx2` matrices. Consider the statements (i) `A B=O => A=OorB=O` (ii)`A B=I_2 =>A=B^(-1)` (iii) `(A+B)^2=A^2+2A B+B^2` (a)(i) and (ii) are false, (iii) is true (b)(ii) and (iii) are false, (i) is true (c)(i) is false (ii) and, (iii) are true (d)(i) and (iii) are false, (ii) is true

A

Is false (ii) and (iii) are true

B

(i) and (iii) are false (ii) is true

C

(i) and (ii) are false (iii) is true

D

(ii) and (iii) are false (i) is true

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Let A and B be two 2xx2 matrices. Consider the statements (i) A B=0 => A=0 or B=0 (ii) AB=I_2 => A=B^(-1) (a) only (i) (b) only (ii) (c) both are correct (d) none of these.

1 a(iii), b(ii), c(i), d(iv) 2 a(i), b(iv), c(i), d(iii) 3 a(iv), b(i), c(iii), d(iv) 4 a(ii), b(iii), c(iv), d(i)

In Figure, which of the following statements must be true? (i) a+b=d+c (ii) a+c+e=180^0 (iii) b+f=c+e (a) (i) only (b) (ii) only (c) (iii) only (d) (ii) and (iii) only

Evaluate : (i) (a+6b)^(2) " " (ii) (3x-4y)^(2) " " (iii) (2a-b+c)^(2)

Consider the following statements concerning a DeltaABC (i) The sides a,b,c and area of triangle are rational. (ii) a, "tan"(B)/(2),"tan"(C)/(2) (iii) a, sin A sin B, sin C are rational . Prove that (i) rArr(ii) rArr(iii)rArr(i)

If a=2 and b=-2, find the value of : (i) a^(2)+b^(2) (ii) a^(2)+ab+b^(2) (iii) a^(2)-b^(2)

Subtract : (i) -5y^2 from y^2 (ii) 6xy from (iii) (a-b) from (a+b)

Biodiversity loss occurs due to (i) habitat loss and fragmentation (ii) co-extinction (iii) over-exploitation (iv) alien species invasion. (a) (i) and (ii) (b) (i), (ii) and (iii) (c) (ii), (iii) and (iv) (d) (i), (ii), (iii) and (iv)

Expand the following (i) (4a-b+ac)^(2) (ii) (3a-5b-c)^(2) (iii) (-x+2y-3z)^(2)

Match Column - I with Column - II and select the CORRECT option form the codes given below (a) A - (iv) , B - (ii) , C - (i) , D - (iii) (b) A - (iii) , B - (ii) , C - (i) , D - (iv) (c) A - (iv) , B - (iii) , C - (i) , D - (ii) (d) A - (i) , B - (ii) , C - (iii) , D - (iv)