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9.1/1 points | Previous AnswersHoltLinAlg1 3.2.034.Find an example that meets the given specifications.3 ×3 nonzero matrices Aand Bsuch that 111000101[0, 0, 0; 0, 0, 0; 0, 0, 1]= 033A= 0 0 00 0 00 1 0B=
10.1/1 points | Previous AnswersHoltLinAlg1 3.2.037.Find an example that meets the given specifications.2 ×2 matrices A, B, and Cthat are nonzero, where 1111[1,1;1,1]BAC= BCA= , B1 66 16 11 6C=but
AB= 033A= 0 0 00 0 00 1 0B=
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ABAC= BCA= , B1 66 16 11 6C=.=
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11.1/1 points | Previous AnswersHoltLinAlg1 3.2.040.Determine if the statement is true or false, and justify your answer. You may assume that Aand Bare matrices.If Aand Bare diagonal matrices, then so is n×nAB.True. If ij, then Aij= Bij= 0, so (AB)ij= 0, and ABis diagonal.12.1/1 points | Previous AnswersHoltLinAlg1 3.2.046.Determine if the statement is true or false, and justify your answer. You may assume that Aand Bare matrices.If then either or False. For example, n×nAB.True. If ij, then Aij= Bij= 0, so (AB)ij= 0, and ABis diagonal.B