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Assertion: If A!=I and A!=-I, then det A...

Assertion: If `A!=I and A!=-I, then det A=-1`, Reason: If `A!=I` and `A!=-I`, then `tr(A)!=0` (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) both A and R is false.

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Assertion: Tr(A)=0 Reason: |A|=1 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) both A and R is false.

Assertion : A^-1 exists, Reason: |A|=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: If |A^2|=25 then A=+- 1/5 , Reason: |AB|=|A||B| (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: |A A^T|=0 , Reason : A is a skew symmetric matrix (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: r=15 Reason : ^nC_x=^InC_yrarrx+y=n (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: adj(adjA)=(det A)^(n-2)A Reason: |adjA|=|A|^(n-1) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: ABCD is a rhombus. Reason: AB=BC=CD=DA and AC!=BD . (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: f(n) is divisible by 961, Reason : 2^(5n)=(1+31)^n (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion:Points A,B,C are collinear, Reason: vec(AB)xxvec(AC)=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: |AadjA|=-1 , Reason : If A is a non singular square matrix of order n then |adj A|=|A|^(n-1) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.