WB JEE 2009 | Matrices and Determinants Question 3 | Mathematics

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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

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If the matrices $$A = \left[ {\matrix{ 2 & 1 & 3 \cr 4 & 1 & 0 \cr } } \right]$$ and $$B = \left[ {\matrix{ 1 & { - 1} \cr 0 & 2 \cr 5 & 0 \cr } } \right]$$, then AB will be

$$\left[ {\matrix{ {17} & 0 \cr 4 & { - 2} \cr } } \right]$$

$$\left[ {\matrix{ 4 & 0 \cr 0 & 4 \cr } } \right]$$

$$\left[ {\matrix{ {17} & 4 \cr 0 & { - 2} \cr } } \right]$$

$$\left[ {\matrix{ 0 & 0 \cr 0 & 0 \cr } } \right]$$

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