Types Of Matrices

01

PYQ 2023

medium

mathematics ID: cuet-pg-

Match List-I and List-II LIST I LIST II A. Singular Matrix I. Determinant is always one. B. Real Symmetric Matrix II. Digonal element are necessarily either purely imaginary or zero C. Skew-Hermitian Matrix III. Eigen values are always Real D. Orthogonal Matrix IV. Determinant is always zero Choose the correct answer from the options given below:

1

A-I, B-II, C-III, D-IV

2

A-II, B-IV, C-I, D-III

3

A-IV, B-III, C-II, D-I

4

A-III, B-I, C-IV, D-II

02

PYQ 2023

medium

mathematics ID: cuet-pg-

Which of the following statement is not correct?

1

If A and B are non-singular matrices, then (AB) is also a non-singular matrix.

2

If AB = AC and A is non-singular matrix, then B = C.

3

The inverse of a non-singular symmetric matrix is also a symmetric matrix.

4

If A and B are symmetric matrices, then (AB-BA) is not a skew-symmetric matrix.

03

PYQ 2023

medium

mathematics ID: cuet-pg-

Match List I with List II LIST I LIST II A . A square matrix A is said to be symmetric if I . A=A' B . A square matrix A is said to be skew symmetric if II . A= -A' C . If A is any square matrix then III . A+A' is a symmetric matrix D . If A is any square matrix then IV . A-A' is a skew symmetric matrix Choose the correct answer from the options given below:

1

A I, B II, C III, D IV

2

A I, B III, C II, D IV

3

A IV, B III, C II, D I

4

A II, B III, CI, D IV

Chapter Questions
3 MCQs

LIST I		LIST II
A.	Singular Matrix	I.	Determinant is always one.
B.	Real Symmetric Matrix	II.	Digonal element are necessarily either purely imaginary or zero
C.	Skew-Hermitian Matrix	III.	Eigen values are always Real
D.	Orthogonal Matrix	IV.	Determinant is always zero

	LIST I		LIST II
A.	A square matrix A is said to be symmetric if	I.	A=A'
B.	A square matrix A is said to be skew symmetric if	II.	A= -A'
C.	If A is any square matrix then	III.	A+A' is a symmetric matrix
D.	If A is any square matrix then	IV.	A-A' is a skew symmetric matrix