Relation R is given by matrix                          1   0   0    0                          0   1   0    0                          1   1   1     0                          1   1   1     1   Is R an order? If yes, what its minimal, maximal, least, and greatest elements are?

Q: or unitary diagonalizing of The to loue'ng. Find an ordhogonal matrix tor each 2 2 (aj (b) 2 - 2 - 1

A: Solve the given problem.

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A: Answer: -1000-1000-1

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A: Explanation of the solution is given below....

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Q: 29. Determinant of an Inverse Prove for invertible matrix A that

A: To prove: A-1=1A

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A: Shown below

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Q: Oefine a Linear operator matrix on of order 2.

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Q: nofthe following is a product of elementary matrices for the matrx 1 0 4. 11 T-1-1 01 0 1 -2 1. 1 4…

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Q: (a) If A and B are 2 x 2 matrices so that rank(A) = rank(B) = 2 then rank(AB) = 2. %3D

A: Recall that, if n×n matrices A such that rank(A)=n if and only if A is an invertible matrix.

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A: Q-4

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A: Note: we answer up-to 3 multiple subparts. Please resubmit question which you would like to get…

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A: Please see below picture for detailed solution.

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