# Determine whether each statement is sometimes, always , or never true for matrices A and B and explain your reasoning. Stuck on one of them? Try a few examples. a) If A+B exists , then A-B exists b) If A and B have the same number of elements , then A+B exists.

Determine whether each statement is sometimes, always , or never true for matrices A and B and explain your reasoning. Stuck on one of them? Try a few examples.
a) If A+B exists , then A-B exists
b) If A and B have the same number of elements , then A+B exists.
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Step 1
7.a)addition and substraction is done for same order matrices.threfeore if A+B exist, then A−B will also be exist.this statement is always true.
Step 2
b.number of elements in a matrices is represented by their order,like $2×3,3×2,3×3$. here we have 6,6,9 elements correspondingly.we know that same order matrices can always be added. but let us consider one example which has same number of elemnts but cant
Jeffrey Jordon