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Vidaara.orgClass 10 · Mathematics
CodeVID-M10-15-ORD-01
Order of a Matrix — Assignment
Chapter: Matrices
Topic: Order of a Matrix
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
The order is written as:
  • A.columns $\times$ rows
  • B.rows $\times$ columns
  • C.rows $+$ columns
  • D.product
2.
A $2\times3$ matrix has:
  • A.$5$
  • B.$6$
  • C.$8$
  • D.$23$
3.
A matrix with one row is a:
  • A.column matrix
  • B.row matrix
  • C.square matrix
  • D.identity
4.
A matrix with equal rows and columns is:
  • A.row
  • B.column
  • C.square
  • D.zero
5.
The order of $\begin{bmatrix}1&2&3\end{bmatrix}$ is:
  • A.$3\times1$
  • B.$1\times3$
  • C.$3\times3$
  • D.$1\times1$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
State the order of a matrix with $3$ rows and $4$ columns.
7.
How many elements are in a $4\times2$ matrix?
8.
State the order of a column matrix with $3$ entries.
9.
Is $\begin{bmatrix}1&2&3\end{bmatrix}$ a row matrix?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A matrix has $12$ elements. List all possible orders.
11.
How many elements are in a $3\times3$ matrix?
12.
State the order of $\begin{bmatrix}1\\2\\3\\4\end{bmatrix}$.
13.
How many elements are in a square matrix of order $2$?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A matrix has $18$ elements. Write all possible orders.
15.
If $A$ is of order $3\times2$ and $B$ is $2\times4$, state the order of $AB$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) rows $\times$ columns
  2. (B) $6$
  3. (B) row matrix
  4. (C) square
  5. (B) $1\times3$
Section B — Short Answer (2 marks)
  1. $3\times4$.
  2. $8$.
  3. $3\times1$.
  4. Yes ($1\times3$).
Section C — Short Answer (3 marks)
  1. $1\times12,2\times6,3\times4,4\times3,6\times2,12\times1$.
  2. $9$.
  3. $4\times1$.
  4. $4$.
Section D — Long Answer (5 marks)
  1. $1\times18,2\times9,3\times6,6\times3,9\times2,18\times1$.
  2. $3\times4$.
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