WB JEE 2008 | Matrices and Determinants Question 1 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The values of x for which the given matrix $$\left[ {\matrix{ { - x} & x & 2 \cr 2 & x & { - x} \cr x & { - 2} & { - x} \cr } } \right]$$ will be non-singular are

$$ - 2 \le x \le 2$$

for all x other than 2 and $$-$$2

$$x \ge 2$$

$$x \le - 2$$

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 Subjects