Consider the matrices [1 1] A = [2₁1₁-61 3 B = C=1²2 1²], D=1²2₂²] (2-1), с [22] Which of the following have a PDP-¹ factorization with D having no complex entries? A B U U OD

Q: Find a matrix X that solves the equation 1 2 3 4

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Q: 2 1 }], 3

A: LetWe have to find the inverse of the above matrix.We know that

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

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Q: A=(41] [4] ( )= (-1) [₂] + (3) [₂] 2

A: Matrix multiplication is possible if we have two matrices A and B such that, order of A =m×n;order…

Q: Make a change of variable, x = Py, that transforms the quadratic form 3x, + 14x, x, + 3x, into a…

A: To find the solution of the given problem we find the matrix representation of the quadratic form.…

Q: Write f= x + 10x1x2 + x3 as a difference of squares, and f= x? + 10x,x2 + 30x as a sum of squares.…

A: Given f=x12+10x1x2+x22.  Let the associated matrix of f be A=abba is 2×2 symmetric matrix. Then,…

Q: -3 4 B = -1 | %3D 4 | 0 4 3. C = -2 5 1 D = 4 -2 0 1 Using the above matrices find DB

A: Given matrices are

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

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Q: Find the power of A for the matrixA16

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Q: en the definition tr rices (no numbers). (d) = a + d show that tr(A B) = tr(BA) using gen

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Q: Consider the matrices [2 1 A = 2 2 -2 31 3271 and x = X1 B Xx2 a. Show that the equation Ax = x can…

A: TO solve the system of linear equation we use matrix method .

Q: Find an LU -9 -9 0 2 -45 -63 72 62 L U = factorization for -8 -8 8 8 -104 -111 56 36

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Q: Consider the matrix [102] A = 2 1 4 5 59 (a) Use elementary row operations to reduce A into the…

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Q: For matrices A, B, and C, if A is invertible and AB-C, then True False B = CA-¹.

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Q: Consider the two matrices: Compute A + 3B. The result is equal to: Select one: O a. O b. O c. 4 -12…

A: (.)  Given matrices are , A=   2  4-6  0   ,    B =    1 -5-3     2 now we find  12A+3B .

Q: [1 3 B = 2 1 5 0 A = 0 -5 4 and 3 8 QA + B'.

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Q: a) Suppose that A and B are 4 x 4 matrices, det(A) = 2 and det((3ATB)-¹) = . Calculate det(B). b)…

A: As per our company guideline we are supposed to answer only one question kindly post remaining…