Matrix in Linear Algebra From an electrical circuit, we got the following equations of cur x+y+z=7 x-y + 2z = 9 2x+y=z=1 a) Write them in matrix form and inverse matrix form; b) Find the determinant manually. c) Using any approach (including Cramer's rule or Gaussi matrix, or MATLAB), to solve the above equations.

Q: 1) Find the inverse, A-1, of A. Then show that A and A¬1 are in fact inverses of each other, by…

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Q: explain why the following matrix does not have an inverse A=√125 352

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Q: How do you find the inverse of this matrix?

A: We first find the determinant of the matrix to check if the matrix is invertible or not.

Q: Express the quadratic form (c₁x₁ + €2₂x2 + ... + Cnn)² in the matrix notation TA, where A is…

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Q: a) If A and B are invertible and their inverses are A¹ and B-¹ respectively, prove that the inverse…

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Q: Let A, B,C M.(R) be three square invertible matrices with real coefficients. Solve the following…

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Q: Use Gauss-Jordan to find the inverse of the matrix A given by -3 0 0 2a b a A = 10 0 2 What are the…

A: Gauss Jordan’s Matrix Inversion method. In this method we shall find the inverse of a matrix…

Q: Solve the following set of simultaneous equations using the matrix inverse method: X₁ + x2 + 2x3 = 6…

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Q: Diagonalize the matrix A || -1 −1 1 4 16 by writing it as A = PDP-¹

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Q: A rental truck costs $45.45 for a day plus 94¢ per mile. (a) If x is the number of miles driven,…

A: Given that, a rental truck costs $45.45 for a day plus 94c per mile.

Q: -2 5 1 -2 4 1 -3 6 2 x1 X2 X3

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Q: (a) Consider the following matrix equation: X + 6. 8. Use your calculator to find the matrix X.…

A: We have to find the matrices values.

Q: Show that the matrix has no inverse.

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Q: please show all work 3. Consider the following matrix: B =  (a) Does this matrix have an…

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