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Addition and Subtraction of a Matrix

Given A = [ 2...

Question

Given A = [ 2 -3], B = [ 0 2] and C = [-1 4] ; find the matrix X in each of the follwing
(i) X + B = C - A
(ii)A - X = B + C

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Solution

(i) X + B = C - A
=>X + [0 2] = [-1 4] - [2 -3]

=>X + [0 2] = [-1-2 4+3] = [-3 7]

=> X = [-3 7] - [0 2]

=> X = [-3-0 7-2]

=> X = [-3 5]

(b) A - X = B + C
=> [2 -3] - X = [0 2] + [-1 4]

=> [2 -3] - X = [0-1 2+4]

=>[2 -3] - X = [-1 6]

=>[2 -3] - [-1 6] = X

=> X = [2+1 -3-6] = [3 -9]

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