Find the value of x and y if 2 1 3 0 x + y 0 1 2 = 5 6 1 8

Given, 2 1 3 0 x + y 0 1 2 = 5 6 1 8 We know that in scalar multiplication, each entry in the matrix is multiplied by the given scalar. 2 6 0 2 x + y 0 1 2 = 5 6 1 8 ⇒ 2 + y 0 + 6 0 + 1 2 x + 2 = 5 6 1 8 ⇒ y + 2 6 1 2 x + 2 = 5 6 1 8 We know that two matrices are equal if and only if they are of the same order and their corresponding elements are equal. ⇒ y + 2 = 5 and 2 x + 2 = 8 ⇒ y = 5 - 2 = 3 and 2 x = 8 - 2 = 6 ⇒ x = 3 Hence, x = 3 and y = 3

If A = 5 4 2 3 and B = 3 5 1 6 8 4 , find A B .

Given A = 5 4 2 3 , B = 3 5 1 6 8 4 Consider, A B = 5 4 2 3 · 3 5 1 6 8 4 ⇒ A B = 15 + 24 25 + 32 5 + 16 6 + 18 10 + 24 2 + 12 ⇒ A B = 39 57 21 24 34 14

Find A B if A = 6 9 2 3 and B = 2 6 0 7 9 8 .

Given, A = 6 9 2 3 and B = 2 6 0 7 9 8 AB is defined as the number of columns in matrix A is same as the number of rows in matrix B . Also AB is of order 2 × 3 . AB = 6 9 2 3 2 6 0 7 9 8 Applying row and column multiplication... AB = 6 × 2 + 9 × 7 6 × 6 + 9 × 9 6 × 0 + 9 × 8 2 × 2 + 3 × 7 2 × 6 + 3 × 9 2 × 0 + 3 × 8 AB = 12 + 63 36 + 81 0 + 72 4 + 21 12 + 27 0 + 24 AB = 75 117 72 25 39 24

E M B I B E

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Matrices>Bihar Board-2020

Embibe Experts Solutions for Chapter: Matrices, Exercise 1: Bihar Board-2020

Author:Embibe Experts

Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Matrices, Exercise 1: Bihar Board-2020

Attempt the practice questions on Chapter 3: Matrices, Exercise 1: Bihar Board-2020 with hints and solutions to strengthen your understanding. EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Matrices, Exercise 1: Bihar Board-2020 with Hints & Solutions

EASY

12th Bihar Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Matrices>Bihar Board-2019>Q 7

$A = [\begin{array}{cc} 3 & 6 \\ 5 & - 4 \end{array}], B = [\begin{array}{cc} 7 & 8 \\ 5 & 6 \end{array}] \Rightarrow 2 A + 3 B = ?$

MEDIUM

12th Bihar Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Matrices>Bihar Board-2019>Q 8

If $2 [\begin{matrix} 3 & 4 \\ 5 & x \end{matrix}] + [\begin{matrix} 1 & y \\ 0 & 1 \end{matrix}] = [\begin{matrix} 7 & 0 \\ 10 & 5 \end{matrix}]$ , then

MEDIUM

12th Bihar Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Matrices>Bihar Board-2019>Q 10

Find the value of $x$ and $y$ if $2 [\begin{array}{ll} 1 3 \\ 0 x \end{array}] + [\begin{array}{ll} y 0 \\ 1 2 \end{array}] = [\begin{array}{ll} 5 6 \\ 1 8 \end{array}]$