NEW
Font size
WorksheetsDeterminant and Matrices_OJEE
Total questions: 20
Worksheet time: 40mins
Evaluate the determinant
0
1
-1
None of these
Evaluate the determinant.
0
1
-1
None of these
The value of the determinant is ___
1
0
x
xy
Find the area of the triangle whose vertices are (4,5), (0,7), (-1,1)
10
12
13
14
Find the solution of these system of equations.
x = 1, y = -1, z = 3
x = 1, y = -1, z = 2
x = 1, y = 1, z = 4
No solution
Cramer’s Rule fails for ___________
Determinant > 0
Determinant < 0
Determinant = 0
Determinant = Non-Real
According to Cramer's rule, what is the condition for unique solution of system of linear equations?
D = 0
D = 0
D > 0
None of these
For what value of 'k' , the following equations have no solution.
2x + 4y + 6z = 3
2x + ky + 2z = 5
6x + 8y + 14z = 9
k = 0
k = 1
k = -1
k = 2
is a singular matrix ?
4
± 4
8
± 16
For what value of 'x' the matrix is a Skew-symmetric matrix?
1
-1
3
-3
All the diagonal elements of a skew-symmetric matrix is___
0
1
2
Any integer
Let A has order(axb) and B has order(cxd) be two matrices, then for AB to exist, correct relation is given by__
a = d
b = c
a = c
b = d
If for a square matrix A, A2 = A then such a matrix is known as _______
Idempotent matrix
Orthagonal matrix
Null matrix
Involutary matrix
The determinant of identity matrix is____
1
2
3
0
The trace of identity matrix is____
1
2
3
0
Let A be a nilpotent matrix of order n then?
An = O
nA = O
A = nI, I is Identity matrix
None of these
find the inverse
Identity matrix
None of these
a null matrix
an unit matrix
- A
A
then A is ____
Skew-symmetric
Symmetric
Orthogonal
Idempotent
If A is any square matrix, then which of the following is skew-symmetric?
A + AT
A - AT
A AT
ATA
