(C) Step $1$: $A$ matrix where the number of rows is not equal to the number of columns is a $Rectangular \ matrix$ (a-iii).Step $2$: $A$ square matri

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) Step $1$: $A$ matrix where the number of rows is not equal to the number of columns is a $Rectangular \ matrix$ (a-iii).Step $2$: $A$ square matrix $A$ is symmetric if $A' = A$ (b-i).Step $3$: $A$ diagonal matrix where all diagonal elements are equal is a $Scalar \ matrix$ (c-iv).Step $4$: $A$ matrix that is both symmetric $(A' = A)$ and skew-symmetric $(A' = -A)$ must satisfy $A = -A$, which implies $2A = 0$, so $A$ is a $Null \ matrix$ (d-ii).Therefore, the correct matching is $a-iii, b-i, c-iv, d-ii$.

Class 12 Mathematics 3 and 4 .Determinants and Matrices Mix Examples-Determinants and Matrices

Medium

Match List-$I$ with List-$II$:
List-$I$ List-$II$
a) $A$ matrix which is not a square matrix i) Symmetric matrix
b) $A$ square matrix $A' = A$ ii) Null matrix
c) The diagonal elements of a diagonal matrix are same iii) Rectangular matrix
d) $A$ matrix which is both symmetric and skew symmetric iv) Scalar matrix

KCET 2026 All KCET

A
$a-iii, b-i, c-ii, d-iv$
B
$a-iii, b-ii, c-iv, d-i$
C
$a-iii, b-i, c-iv, d-ii$
D
$a-iii, b-iv, c-i, d-ii$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Mathematics Questions

Chapter

3 and 4 .Determinants and Matrices

Subtopic

Mix Examples-Determinants and Matrices

Previous Year

KCET 2026 Paper All KCET years →

Let $A = [a_{ij}]$ be a square matrix of order $2$ with entries either $0$ or $1$. Let $E$ be the event that $A$ is an invertible matrix. Then the probability $P(E)$ is:

DifficultJEE MAIN 2025

View Solution

Let $A$ and $B$ be two $3 \times 3$ matrices such that $AB = I$ and $|A| = \frac{1}{8}$. Then $|\operatorname{adj}(B \operatorname{adj}(2A))|$ is equal to:

DifficultJEE MAIN 2022

View Solution

If $A$ and $B$ are two square matrices of the same order and $(AB+BA)^{T}+(AB-BA)^{T}=2BA$, then:

MediumTS EAMCET 2023

View Solution

$A$ and $B$ are two non-singular square matrices of order $3 \times 3$ such that $AB = A$ and $|A + B| \neq 0$. Then:

View Solution

Let $A = \begin{bmatrix} \frac{1}{6} & \frac{-1}{3} & \frac{-1}{6} \\ \frac{-1}{3} & \frac{2}{3} & \frac{1}{3} \\ \frac{-1}{6} & \frac{1}{3} & \frac{1}{6} \end{bmatrix}$. If $A^{2016l} + A^{2017m} + A^{2018n} = \frac{1}{\alpha} A$, for every $l, m, n \in N$, then the value of $\alpha$ is

MediumTS EAMCET 2018

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

List-$I$	List-$II$
a) $A$ matrix which is not a square matrix	i) Symmetric matrix
b) $A$ square matrix $A' = A$	ii) Null matrix
c) The diagonal elements of a diagonal matrix are same	iii) Rectangular matrix
d) $A$ matrix which is both symmetric and skew symmetric	iv) Scalar matrix

Similar Questions

Let $A = [a_{ij}]$ be a square matrix of order $2$ with entries either $0$ or $1$. Let $E$ be the event that $A$ is an invertible matrix. Then the probability $P(E)$ is:

Let $A$ and $B$ be two $3 \times 3$ matrices such that $AB = I$ and $|A| = \frac{1}{8}$. Then $|\operatorname{adj}(B \operatorname{adj}(2A))|$ is equal to:

If $A$ and $B$ are two square matrices of the same order and $(AB+BA)^{T}+(AB-BA)^{T}=2BA$, then:

$A$ and $B$ are two non-singular square matrices of order $3 \times 3$ such that $AB = A$ and $|A + B| \neq 0$. Then:

Let $A = \begin{bmatrix} \frac{1}{6} & \frac{-1}{3} & \frac{-1}{6} \\ \frac{-1}{3} & \frac{2}{3} & \frac{1}{3} \\ \frac{-1}{6} & \frac{1}{3} & \frac{1}{6} \end{bmatrix}$. If $A^{2016l} + A^{2017m} + A^{2018n} = \frac{1}{\alpha} A$, for every $l, m, n \in N$, then the value of $\alpha$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module