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.

SchachtN 2021-02-08 Answered
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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lobeflepnoumni
Answered 2021-02-09 Author has 99 answers
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
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Jeffrey Jordon
Answered 2022-01-27 Author has 2064 answers

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