Suppose A is a symmetric n × n matrix and B is any n × m matrix. Show that BTAB, BTB, and BBT are symmetric matrices.

Q: Find two 3x3 invertible matrices A and B, such that A+B is not invertible.

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Q: Suppose that matrix A has dimension 5•3 and that matrix B has dimension 3•5. Decide whether product…

A: Given: The matrix A has dimension 5×3 and that matrix B has dimension 3×5. To Find: To decide…

Q: Find a 2 x 2 matrix such that 3 -2 -2 = 61

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Q: Q5) Check whether the following matrix is diagonalizable or not. 7 -3 A = -9 -2 3 18 -8,

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Q: Give an example of a 3 × 3 matrix with real inputs that is not similar to a matrix diagonal

A: A matrix is said to be a diagonalisable  if it is similar to a diagonal matrix. Therefore we need to…

Q: 2 1 2 A = = | 3 -2 4 -3 -5]

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Q: Define the variable A as a fourth order identity matrix and multiply it by a matrix B with…

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