A matrix M is said to be orthogonal if MMT=MTM=1. Let S be a skew-symmetric matrix and I the identity matrix. If I-S is invertible, can we say that the matrix A=(I + S) (I-S) is orthogonal?

Q: 4 Is the matrix A = -3 O Yes O No 1-3 1-3 2 -1 -4, invertible?

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Q: 9. A = -2 2

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A: In the matrices, the dimensions of the bases are related to the vector spaces they represent.  1.…

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A: Here we find matrix B of order 2×4

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A: Solve the given problem.

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Q: The matrix X1 X = is called a vector.

A: We have to find

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A: We will give a counter example that will prove this statement wrong.

Q: Find a 3 × 2 matrix A and has LU factorization where L is diagonal.

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