Which of the following is (are) NOT the square of a 3×3 matrix with real entries? (a)⎣⎡10001000−1⎦⎤ (b) ⎣⎡−1000−1000−1⎦⎤ (c)⎣⎡100010001⎦⎤ (d) ⎣⎡1000−1000−1⎦⎤
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Construct a 3×2 matrix whose elements are given by aij=(2i−j)
then the value of det(A−I)
is (where A
has order 3)
d. cannot say anything
are two non-singular matrices such that AB=C,then∣B∣
is equal to
d. none of these
Find X, if Y= and 2X+Y=[1−302]
be the set of all 3×3
skew-symmetri matrices whose entries are either −1,0,or1.
If there are exactly three 0s three 1s, and there (−1)′s
, then the number of such matrices is __________.
are two non-singular matrices of the same order such that Br=I,
for some positive integer r>1,thenA−1Br−1A=A−1B−1A=
For each real x,=1
Construct a 4×3 matrix whose elements are given by aij=ji.