(AB)† = B†A† (AB)−1 = B−1A−1

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A:

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A:

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A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Prove Theorem For any matrix A, AAT and ATA are symmetric matrices.

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Q: 1 3 1 -1 2 0 5 -2 6 1 A = 3 -1 3 4 1 -3 -2 3

A: We have to find the Nul(A).

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Q: 2. Determine the matrix X, such that:

A: Solution:-

Q: Find the rank and nullity theorem for the following matrix(in image).

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Q: Let A, B, C be invertible matrices of order 3x3. Show that if AB = AC , then B =C. %3D

A: Let A, B, C be invertible matrices of order 3×3. To show that if AB=AC, then B=C.

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Q: stable

A:

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A: Note:  We are allowed to solve one question at a time so kindly upload rest of the questions as next…

Q: How many matrices are there in the vector space Mmxn(Z2)?

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Q: 2 -4 1 -7 1 -2 1 -5 6 -12 3 A = -21

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