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Revision Quiz | Matrices and Determinants
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Question 1
If A = 
, then co-factor matrix of A is
, then co-factor matrix of A is Question 2
Find |X| satisfying the matrix equation
Question 3
Let 
and 
then
and then Question 4
If A = 
, then trace of matrix A is
, then trace of matrix A is Question 5
For two 3×3 matrices A and B, let A+B=2B’ and 3A+2B=I3, where B’ is the transpose of B and I3 is 3×3 identity matrix. Then:
Question 6
The system of linear equations
x+λy-z=0
λx-y-z=0
x+y-λz=0
has a non-trivial solution for
x+λy-z=0
λx-y-z=0
x+y-λz=0
has a non-trivial solution for
Question 7
IfA =
, then A2 +xA + yI = 0 (for (x,y) =
, then A2 +xA + yI = 0 (for (x,y) = Question 8
Let A = 
, a, b ∈N. Then
, a, b ∈N. Then Question 9
If ΔABC is a scalene triangle, then the value of 
is
is Question 10
The value of the determinant 
is
is Question 11
The number of distinct real roots of
= 0
in the interval -
= 0 in the interval -
Question 12
If 
and A adj A = A AT, then 5a + b is equal to
and A adj A = A AT, then 5a + b is equal toQuestion 13
If 
and 
then what is the value of x?
and then what is the value of x?Question 14
Find 
where
is a non – singular matrix. 
whereis a non – singular matrix. Question 15
A is an nth order square matrix and |adj(adjA)|=|A|9
Then n=
Then n=
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May 10JEE & BITSAT
