1
WB JEE 2008
+1
-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

A
$$- 2 \le x \le 2$$
B
for all x other than 2 and $$-$$2
C
$$x \ge 2$$
D
$$x \le - 2$$
2
WB JEE 2008
+1
-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
a = 0, b = c
B
b = 0, c = d
C
c = 0, d = a
D
d = 0, a = b
3
WB JEE 2009
+1
-0.25

If A is a square matrix. Then

A
A + AT is symmetric
B
AAT is skew-symmetric
C
AT + A is skew-symmetric
D
ATA is skew-symmetric
4
WB JEE 2009
+1
-0.25

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

A
A $$-$$ I
B
I $$-$$ A
C
A + I
D
A
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