Find an invertible matrix P and a matrix C of the form a -b such that A = 0.7 -1 has the form A = PCP 1 a 0.4 0.3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Q: Find an invertible matrix P and a matrix C of the form - b [:] b a such that A = 0.2-1.3 0.8 1.8 has…

A: Given,           A=0.2-1.30.8-1.8.

Q: Find the matrix of the quadratic form. Assume x is in R?. a. 3x - 8x,x2 + 2x3 b. 5x, + 18x,x2

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Q: Solve the matrix equation for X: 1 -1 2 - 14 -2 0 X 4 0 1 5 -1 3 i i X = i i

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Q: For which values of the constants b and c is the follow- ing matrix invertible? 1 b -1 -b

A: The given matrix is 01b-10c-b-c0

Q: Find the transpose of matrix A A = 4 0 -6 3 -8 1

A: Matrix transpose

Q: Find an invertible matrix P such that: 2 -2 1 P-1 -1 3 -1 P 100 2 -4 3. 0 0 6

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Q: Let A be a real 2 x 2 matrix satisfying A? - 4A = 0, where O is the zero matrix. SKIP Find the…

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Q: Find out the pivots of the following matrix and comment whether it is singular or not. 2 0 0 1 10 0…

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Q: 3. Diagonalize the matrix: 1 1 0 1 0 1 1 1 1

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Q: 3 0 A =|-3 7] 1 -1 2 4 91

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Q: D = 3 1 5 0 -4 5 -2 -4 3

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Q: Find the matrices of x and y if. 2x- y = [ -6 3 2 I and x+2y = 1

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Q: Find the singular values the matrix:

A: Given:A=1201-21Singular values:detATA-λI=0

Q: 1 1 1 0100 0120 00 0 Let A = Write A as C DC , where D is a diagonal matrix. Hint: You can always…

A: Given : matrix A=1110010001200000 We have to write A as CDC-1, where D is a diagonal matrix.

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

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Q: The matrix A5 x 3 may have a rank = 4 %3D Select one: O True O False

A: Answer:   False  As rank of a matrix is always less than or equal m or n if order of matrix is m x…

Q: Determine whether the following matrix is diagonalizable or not. If yes, diagonalize it; if not,…

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Q: ging %3D

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Q: a. Construct a 3 × 2 matrix A such that Aỡ = ♂ has only the trivial solution. A = = b. Construct a 3…

A: To Do: (a) Construct a 3×2 matrix A such that Ax→=0→ has only the trivial solution. (b) Construct a…

Q: Q10.5 If A is a 2x8 matrix and if B is mxn , figure out the value of m if BTAT is a 20x2 matrix.

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Q: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

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Q: Find a matrix A such that:

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Q: Let A, B, and C be an n x n invertible matrices. Solve the following equation for X. Justify each…

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Q: Solve A x A T matrix: A = -2  1  -1 3   -3   2

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Q: Find values for the the entries in the first matrix to satisfy this equation: 0 0 1 1 0 0 -1 0 52 74

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Q: Is the matrix A invertible -1 2 3 -6 O True O False

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Q: Enter the elements of a 3 * 3 matrix using the keyboard and then find the result of summing the…

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Q: A. Construct a 2 × 2 matrix that is invertible but not diagonalizable. Also provide the inverse of…

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Q: Consider the following matrices: 4 4-[ A = 1 Find a matrix B such that and a matrix C such that 5 4…

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Q: Find the power of A for the matrixA16

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Q: Consider the square matrix below: 2 -4 A = 3 2 O -2 Use Doolittle's method, expressed the given…

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Q: Fill in each matrix for diagonalization of the matrix A = A = PDP-1 3 Ex: 5 30 1 4 -6 19 1 1 IG

A: We have to fill in each matrix for diagonalisable of the matrix.