# ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 8 Matrices Ex 8.1

## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 8 Matrices Ex 8.1

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 8 Matrices Ex 8.1

Question 1.
(i) $$\begin{bmatrix} 2 & -1 \\ 5 & 1 \end{bmatrix}$$
(ii) [2 3 – 7]
(iii) $$\left[ \begin{matrix} 3 \\ 0 \\ -1 \end{matrix} \right]$$
(iv) $$\left[ \begin{matrix} \begin{matrix} 2 \\ 0 \\ 1 \end{matrix} & \begin{matrix} -4 \\ 0 \\ 7 \end{matrix} \end{matrix} \right]$$
(v) $$\left[ \begin{matrix} \begin{matrix} 2 & 7 & 8 \end{matrix} \\ \begin{matrix} -1 & \sqrt { 2 } & 0 \end{matrix} \end{matrix} \right]$$
(vi) $$\left[ \begin{matrix} \begin{matrix} 0 & 0 & 0 \end{matrix} \\ \begin{matrix} 0 & 0 & 0 \end{matrix} \end{matrix} \right]$$
Solution:

Question 2.
(i) If a matrix has 4 elements, what are the possible order it can have ?
(ii) If a matrix has 8 elements, what are the possible order it can have ?
Solution:

Question 3.
Construct a 2 x 2 matrix whose elements aij are given by
(i) aij = 2i – j
(ii) aij = i.j
Solution:

Question 4.
Find the values of x and y if : $$\left[ \begin{matrix} 2x+y \\ 3x-2y \end{matrix} \right] =\left[ \begin{matrix} 5 \\ 4 \end{matrix} \right]$$
Solution:

Question 5.
Find the value of x if $$\left[ \begin{matrix} \begin{matrix} 3x+y & \quad -y \end{matrix} \\ \begin{matrix} 2y-x & \quad \quad 3 \end{matrix} \end{matrix} \right] =\begin{bmatrix} 1 & 2 \\ -5 & 3 \end{bmatrix}$$
Solution:

Question 6.
If $$\left[ \begin{matrix} \begin{matrix} x+3 & \quad \quad 4 \end{matrix} \\ \begin{matrix} y-4 & \quad \quad x+y \end{matrix} \end{matrix} \right] =\begin{bmatrix} 5 & 4 \\ 3 & 9 \end{bmatrix}$$ ,find values of x and y
Solution:

Question 7.
Find the values of x, y and z if
$$\left[ \begin{matrix} \begin{matrix} x+2 & \quad \quad 6 \end{matrix} \\ \begin{matrix} 3 & \quad \quad \quad 5z \end{matrix} \end{matrix} \right] =\begin{bmatrix} -5 & \quad { y }^{ 2 }+y \\ 3 & -20 \end{bmatrix}$$
Solution:

Question 8.
Find the values of x, y, a and b if
$$\begin{bmatrix} x-2 & y \\ a+2b & 3a-b \end{bmatrix}=\begin{bmatrix} 3 & 1 \\ 5 & 1 \end{bmatrix}$$
Solution:

Question 9.
Find the values of a, b, c and d if
$$\begin{bmatrix} a+b & 3 \\ 5+c & ab \end{bmatrix}=\begin{bmatrix} 6 & d \\ -1 & 8 \end{bmatrix}$$
Solution:

Question 10.
Find the values of x, y, a and b, if
$$\left[ \begin{matrix} \begin{matrix} 3x+4y & 2 & x-2y \end{matrix} \\ \begin{matrix} a+b & 2a-b & -1 \end{matrix} \end{matrix} \right] =\left[ \begin{matrix} \begin{matrix} 2 & \quad 2\quad & 4 \end{matrix} \\ \begin{matrix} 5 & -5 & -1 \end{matrix} \end{matrix} \right]$$
Solution: