WB JEE 2008 | Matrices and Determinants Question 2 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

If the matrix $$\left[ {\matrix{ a & b \cr c & d \cr } } \right]$$ is commutative with the matrix $$\left[ {\matrix{ 1 & 1 \cr 0 & 1 \cr } } \right]$$ then

a = 0, b = c

b = 0, c = d

c = 0, d = a

d = 0, a = b

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

If A is a square matrix. Then

A + A^T is symmetric

AA^T is skew-symmetric

A^T + A is skew-symmetric

A^TA is skew-symmetric

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

If A² $$-$$ A + I = 0, then the inverse of the matrix A is

A $$-$$ I

I $$-$$ A

A + I

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

If A and B are square matrices of the same order and AB = 3I, then A^$$-$$1 is equal to

$${1 \over 3}$$B

3B^$$-$$1

$${1 \over 3}$$B^$$-$$1

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