Question

M={1,a,7,-8} n={-2,3,b,5} find a and b if m+n={-1,2,9,-3} matrices

Answer 1

Answer:

1. a= -1
2. b= 2

Explanation

m+n ={-1, 2, 9, -3}

by applying values of given m and n

{1, a, 7, -8} + {-2, 3, b, 5} = {-1, 2, 9, -3}

solving the eqn

{(1-2), (a+3), (7+b), (-8+5)} = {-1, 2, 9, -3}

{-1, a+3, 7+b, -3} = {-1, 2, 9, -3}

comparing the respective terms

2nd and 3rd term from the equation

a+3=2 ; 7+b=9

a=2-3 ; b=9-7

a= -1 ; b=2