Find: - the additive inverse E for a matrix A and verify it.
Answer to Problem 12E
Additive inverse of A = -A
Explanation of Solution
Given that: - Two matrices are additive inverse if their sum is zero matrix, And a non zero matrix A.
Concept Used: - Addition of two matrices is component wise i.e. add corresponding entries together. for example:-
Additive inverse: - Let x be any number and y be additive inverse of x the x + y = y + x =0
Or x +y = 0
Additive inverse of 2 is -2 as 2 + (-2) = (-2) + 2 = 0
Also additive inverse for -5 is 5 as 5 + (-5) = (-5) + 5 = 0
Prove:- Let matrix A is a
A + B = B + A = 0 [here 0 is
So,
And
Verification:-
Or
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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