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WorksheetsSS3 MATHEMATICS
Total questions: 30
Worksheet time: 16mins
Name
Class
Date
1.
If A is a 2×2 matrix, then the determinant of A is zero when
a)
A is invertible
b)
A has two equal rows
c)
A is diagonal
d)
A is symmetric
2.
If A is a square matrix and Transpoe of A = A, then A is
a)
Skew-symmetric
b)
Orthogonal
c)
Diagonal
d)
Symmetric
3.
A matrix with the same number of rows and columns is called
a)
Row matrix
b)
Square matrix
c)
Column matrix
d)
Null matrix
4.
A matrix is singular if
a)
∣A∣=0
b)
∣A∣=1
c)
A is diagonal
d)
A is symmetric
5.
If A is 3×2 and B is 2×4, then AB is of order
a)
3×4
b)
2×3
c)
4×2
d)
3×2
6.
The adjoint of a matrix A is
a)
The transpose of the cofactor matrix
b)
The inverse of A
c)
The determinant of A
d)
The square of A
7.
A matrix multiplied by its inverse gives
a)
Null matrix
b)
Identity matrix
c)
Diagonal matrix
d)
Scalar matrix
8.
If two rows of a determinant are proportional, then the determinant is
a)
-1
b)
1
c)
0
d)
Non-zero
9.
A matrix with only one non-zero row is
a)
Row matrix
b)
Singular
c)
Diagonal
d)
Identity
10.
A 1×n matrix is called
a)
Column matrix
b)
Row matrix
c)
Square matrix
d)
Null matrix
11.
The determinant of A is equal to the determinant of
a)
Minus A
b)
A square
c)
Transpose of A
d)
2A
12.
A matrix obtained by interchanging rows and columns is the
a)
Adjoint
b)
Transpose
c)
Inverse
d)
Cofactor
13.
A matrix with all elements zero is called:
a)
Identity matrix
b)
Singular matrix
c)
Null matrix
d)
Zero determinant matrix
14.
If A is m×n and B is n×p, then AB is:
a)
n×m
b)
mxp
c)
p×m
d)
n×n
15.
For matrices A and B, AB = BA is:
a)
Always true
b)
Never true
c)
True for all square matrices
d)
True only in special cases
16.
If A is a singular matrix, then det(A) =
a)
1
b)
–1
c)
0
d)
Not defined
17.
The identity matrix of order 3 has:
a)
All zeros
b)
Ones on diagonal
c)
All ones
d)
Ones in first row only
18.
The inverse of a matrix exists only if the matrix is:
a)
Square
b)
Singular
c)
Rectangular
d)
Zero matrix
19.
If A is 2×2 matrix, then adj(A) =
a)
transpose of cofactor matrix
b)
cofactor matrix
c)
determinant of A
d)
A⁻¹
20.
A matrix A is skew-symmetric if:
a)
A = 0
b)
Aᵀ = A
c)
A² = I
d)
Aᵀ = –A
21.
If A is 2×2, det(Aᵀ) =
a)
det(A)
b)
–det(A)
c)
0
d)
det(A)²
22.
In matrix multiplication, which must match?
a)
Rows of second = rows of first
b)
Columns of first = rows of second
c)
Columns of first = columns of second
d)
No condition
23.
If A is invertible, then AA⁻¹ =
a)
0
b)
I
c)
A
d)
A²
24.
The determinant of a product of matrices equals:
a)
sum of determinants
b)
product of determinants
c)
reciprocal of determinant
d)
zero
25.
A matrix with 1 column is called:
a)
Row matrix
b)
Square matrix
c)
Column matrix
d)
Null matrix
26.
If A is 2×2, the number of elements is:
a)
2
b)
4
c)
6
d)
8
27.
If A has 3 rows and 4 columns, A is:
a)
Square
b)
4×3
c)
3×4
d)
Identity
28.
If two rows of a determinant are equal, then the determinant is:
a)
1
b)
0
c)
2
d)
Undefined
29.
Find the derivative of 3x²+5x-50
a)
6x+5
b)
3x-5
c)
3x+5
d)
3x-5
30.
Find the derivative of 5x²+30
a)
5x
b)
10x
c)
5x+30
d)
10x+30
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