Explore topic-wise MCQs in Simultaneous Algebraic Equations.

This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Simultaneous Algebraic Equations knowledge and support exam preparation. Choose a topic below to get started.

1.

What is x, if P = ( begin{bmatrix}1&4 2&x end{bmatrix} ) is a singular matrix?

A. 5
B. 6
C. 7
D. 8
Answer» E.
2.

Which of the following is true if A is a singular matrix?

A. It contains all elements equal to 1
B. It contains single element
C. Its determinant is zero
D. It contains all elements equal to 0
Answer» D. It contains all elements equal to 0
3.

What is the order of the matrix [2 4 3]?

A. 1 X 3
B. 3 X 1
C. 1 X 1
D. 3 X 3
Answer» B. 3 X 1
4.

What is the order of the matrix with m rows and n columns?

A. m + n
B. n x n
C. m x m
D. m x n
Answer» E.
5.

What do we call the matrices obtained by changing rows and columns?

A. rectangular matrix
B. transpose
C. symmetric
D. scalar
Answer» C. symmetric
6.

Which of the following is true if two matrices A and B are equal?

A. both are rectangular
B. both have same order
C. number of columns of A is equal to columns of B
D. both have same order and equal corresponding elements
Answer» E.
7.

If AB exists, then (AB)-1 will be equal to which of the following?

A. A<sup>-1</sup> B<sup>-1</sup>
B. B<sup>-1</sup> A<sup>-1</sup>
C. AB
D. BA
Answer» B. B<sup>-1</sup> A<sup>-1</sup>
8.

What do we call the number of non-zero rows in an echelon matrix?

A. reduced echelon matrix
B. order of a matrix
C. determinant of a matrix
D. rank of a matrix
Answer» E.
9.

4.The matrix ( begin{bmatrix}5&amp;0 0&amp;5 end{bmatrix} ) is?

A. Even matrix
B. Odd matrix
C. Scalar matrix
D. Identity matrix
Answer» D. Identity matrix
10.

Which of the following option is correct when multiplication of two matrices A and B is possible?

A. both are rectangular
B. both have same order
C. number of rows of A is equal to rows of B
D. number of rows of A is equal to number of columns of B
Answer» D. number of rows of A is equal to number of columns of B
11.

If A is a symmetric matrix, then At will be equal to which of the following?

A. A
B. |A|
C. 0
D. diagonal matrix
Answer» B. |A|
12.

Which of the following option is correct when addition of two matrices A and B is possible?

A. both are rectangular
B. both have same order
C. no of columns of A is equal to columns of B
D. no of rows of A is equal to no of columns of B
Answer» C. no of columns of A is equal to columns of B