Prove that H is a subring with unity of M2x2(ℤ), under the usual matrix addition and matrix multiplication.
Prove that H is a subring with unity of M2x2(ℤ), under the usual matrix addition and matrix multiplication.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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Prove that H is a subring with unity of M2x2(ℤ), under the usual matrix addition and matrix multiplication.
![Consider H = {[x]x, y ≤ Z}
and the mapping of f: H → Z
given that f(x)
= x - y.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba924253-acb3-4464-b19e-3a83a1071105%2F161851b8-0923-434b-be22-0971a38f07ad%2F0imdcwh_processed.png&w=3840&q=75)
Transcribed Image Text:Consider H = {[x]x, y ≤ Z}
and the mapping of f: H → Z
given that f(x)
= x - y.
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