If A and B are 3×3 invertible matrices, such that det(A)=2, det(B) =-2. Then det (ABA^T) = ???

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A: The solution of above question is written below.

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Q: elementary

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Q: Let A be 3x5 matrix. Then AX=b has always infinitly many solutions. Is it True or False?

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A: Detailed explanation mentioned below

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Q: A and B are 3,3 matrices. Lo lAl =-3 and IBl =2. SO phat is l-2A02|?

A: Properties of determinant:kA=knAAB=ABA-1=1A

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Q: Write down 5 distinct square matrices of order 2*2 and 3*3 and find out its determinant

A: There is no specific formula , please go through the solution.

Q: Find 3 x 3 upper triangular matrix with determinant 1.

A: 3×3 upper triangular matrix

Q: There are sixteen 2 by 2 matrices whose entries are 1s and -1s how many of them are invertible

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Q: What do 2 × 2 matrices represent graphically?

A: 2 × 2 matrices represent:

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Q: describe how LU factorization of a nonsingular matrix B can be found using Doolittle’s method.

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Q: There are sixteen 2 by 2 matrices whose entries are 1 's and O's. How many of them are invertible?

A: A matrix will be invertible if the determinant is not equal to 0.

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Q: find the given matrix is Identity matrix if not find determinant of the matrix without ing NumPy…

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Q: Let A be 3x5 matrix. Then AX=b has always infinitly many solutions.

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Q: Find two 2 × 2 singular matrices whose sum is nonsin- gular.

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Q: Find two 2 × 2 nonsingular matrices whose sum is sin- gular.

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Q: Find out two examples for each types of matrices and write down it's order also

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