
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Addition/ subtraction of matrices
Last updated at May 29, 2023 by Teachoo
Example 10 Find the values of x and y from the following equation: 2[ 8( &[email protected]& 3)] + [ 8(3& [email protected]&2)] = [ 8(7&[email protected]&14)] 2[ 8( &[email protected]& 3)] + [ 8(3& [email protected]&2)] = [ 8(7&[email protected]&14)] [ 8( 2&5 [email protected] 2&( 3) 2)] + [ 8(3& [email protected]&2)] = [ 8(7&[email protected]&14)] [ 8(2 &[email protected]&2 6)] + [ 8(3& [email protected]&2)] = [ 8(7&[email protected]&14)] [ 8(2 +3&10 [email protected]+1&2 6+2)] = [ 8(7&[email protected]&14)] [ 8(2 +3&[email protected]&2 4)] = [ 8(7&[email protected]&14)] Since matrices are equal. Corresponding elements are equal 2x + 3 = 7 & 2y 4 = 14 Solving these equations Solving (1) 2x = 7 3 2x = 4 x = 4/2 x = 2 Hence x = 2 & y = 9