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WorksheetsMODULE 4 - MATRICES
Total questions: 20
Worksheet time: 10mins
Which of the following is a rectangular arrangement of numbers in rows and columns?
Set
Matrix
Determinant
Vector
A matrix is called square if:
Number of rows = number of columns
Number of rows ≠ number of columns
All elements are equal
It is symmetric
A diagonal matrix is a square matrix where:
All elements are non-zero
Only diagonal elements are non-zero
All elements are zero
All diagonal elements are equal
Which of the following matrices has equal elements across its diagonal?
Identity matrix
Diagonal matrix
Symmetric matrix
Row matrix
A matrix is called symmetric if:
Aᵀ = -A
Aᵀ = A
Aᵀ ≠ A
Aᵀ = 0
A matrix is skew-symmetric if:
Aᵀ = -A
Aᵀ = A
Aᵀ ≠ A
Aᵀ = 0
In a diagonal matrix, non-diagonal elements are:
All zero
All one
All non-zero
All equal
If a matrix is both symmetric and skew-symmetric, it must be:
A diagonal matrix
A zero matrix
A unit matrix
A row matrix
Which of the following is not a type of matrix?
Column matrix
Square matrix
Random matrix
Null matrix
A row matrix is a matrix with:
One row
One column
Same number of rows and columns
One non-zero element
The sum of two matrices A and B is possible if:
A and B are square matrices
A and B have the same number of rows and columns
A and B are diagonal matrices
A and B are invertible
Which of the following is true about the determinant of a matrix?
It exists only for square matrices
) It exists for all matrices
It is equal to the inverse of the matrix
It is always positive
The determinant of a 2x2 matrix (abcd)\begin{pmatrix} a & b \\ c & d \end{pmatrix}(acbd) is:
ad - bc
ab - cd
) ac - bd
ab + cd
The inverse of a matrix A exists if:
A is symmetric
A is singular
The determinant of A is non-zero
The determinant of A is zero
The product of a matrix and its inverse is:
Null matrix
Identity matrix
Symmetric matrix
) Zero matrix
Which of the following operations is not allowed on matrices?
Addition
Multiplication
) Division
Transposition
The transpose of a matrix A is obtained by:
Replacing all elements with their negatives
Replacing rows with columns
Replacing columns with rows
Both b and c
The system of linear equations is said to be non-homogeneous if:
All equations have the same solution
The constant terms are not zero
The constant terms are zero
The determinant of the coefficient matrix is zero
Cramer's Rule can be applied to solve a system of equations if:
The system is homogeneous
The determinant of the coefficient matrix is zero
The determinant of the coefficient matrix is non-zero
) The system has no solution
n Cramer's rule, the solution for xix_ixi is given by:
D/D
DX/D
D/DX
DX/DX
