Class 10 Matrices Mock Test (ICSE)

Topics in Matrices

• Order and types of matrices
• Equality of matrices
• Addition and subtraction
• Multiplication of matrices
• Solving matrix equations

Matrices practice questions with answers

1. Q1Multiple choice·1 mark
   If $X + \begin{pmatrix} 2 & -1 \\ 3 & 0 \end{pmatrix} = \begin{pmatrix} 5 & 3 \\ -2 & 4 \end{pmatrix}$, then matrix $X$ is equal to:

   1. (a)$\begin{pmatrix} 3 & 4 \\ 1 & 4 \end{pmatrix}$
   2. (b)$\begin{pmatrix} 7 & 2 \\ 1 & 4 \end{pmatrix}$
   3. (c)$\begin{pmatrix} 3 & 4 \\ -5 & 4 \end{pmatrix}$
   4. (d)$\begin{pmatrix} 3 & 2 \\ 1 & 4 \end{pmatrix}$
   Show answer and step marks

   1. Correct option: (c) $\begin{pmatrix} 3 & 4 \\ -5 & 4 \end{pmatrix}$+1

   Answer: (c)
2. Q2Multiple choice·1 mark
   If $A = \begin{pmatrix} 2 & -3 \\ 1 & 4 \end{pmatrix}$ and $B = \begin{pmatrix} -1 & 2 \\ 3 & -2 \end{pmatrix}$, then $2A + B$ is:

   1. (a)$\begin{pmatrix} 3 & -4 \\ 5 & 6 \end{pmatrix}$
   2. (b)$\begin{pmatrix} 5 & -8 \\ 1 & 10 \end{pmatrix}$
   3. (c)$\begin{pmatrix} 1 & -1 \\ 4 & 2 \end{pmatrix}$
   4. (d)$\begin{pmatrix} 3 & -1 \\ 5 & 2 \end{pmatrix}$
   Show answer and step marks

   1. Correct option: (a) $\begin{pmatrix} 3 & -4 \\ 5 & 6 \end{pmatrix}$+1

   Answer: (a)
3. Q3Multiple choice·1 mark
   If matrix $A$ is of order $3 \times 4$ and matrix $B$ is of order $4 \times 2$, then the order of the matrix $AB$ is:

   1. (a)$3 \times 4$
   2. (b)$4 \times 4$
   3. (c)$2 \times 3$
   4. (d)$3 \times 2$
   Show answer and step marks

   1. Correct option: (d) $3 \times 2$+1

   Answer: (d)
4. Q4Multiple choice·1 mark
   If $\begin{pmatrix} x - 2 & 3 \\ 4 & y + 1 \end{pmatrix} = \begin{pmatrix} 3 & 3 \\ 4 & 5 \end{pmatrix}$, then the values of $x$ and $y$ are:

   1. (a)$x = 5, y = 6$
   2. (b)$x = 1, y = 4$
   3. (c)$x = 5, y = 4$
   4. (d)$x = 1, y = 6$
   Show answer and step marks

   1. Correct option: (c) $x = 5, y = 4$+1

   Answer: (c)

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