Find a P'LU factorization of the given matrix A. (Enter each matrix in the form [[row 1], [row 2],...], where each row is a comma-separated list.) A= (PT, L, U} = {\ 00 13 -12 33 03 11 11-10

Q: equations represented by the matrix shown [[5,1,3,37],[-1,1,1,1],[9,5,3,69]]

A: The system of equations represented by the matrix [[5,1,3,37],[-1,1,1,1],[9,5,3,69]] is           5x…

Q: A) find C= A.B for the following matrices 7 3] ;B B = 2 A = 24 3 1

A: To answer the given question we shall use the product rule of matrices. The given matrices are…

Q: Given the matrix find A³. Write A³ as input your answer below: a11 a12 = a21 = 922 = = -[-3 0 A = A³…

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Q: ^T) + (B^T) and (AB)^T = (A^T)(B^T) if the orders of matrices are appropriate. * False

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Q: Use the matrix P to determine if the matrices A and A' are similar. -1 -1 - 13 6 6 6 P=[¯1 ¯2]·…

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Q: Construct a 3 by 3 matrix whose column space contains ( 1, 1, 0) and ( 1, 0, 1) but not (1, 1, 1).…

A: Column space: The set of columns of a matrix which are linearly independent is called the column…

Q: Find an orthogonal matrix whose first row is (1/3,2/3,2/3)

A: The rows of an orthogonal matrix forms an orthonormal basis. Therefore, consider the extended basis,

Q: Compute A³, A-3, and A² - 2A + I. 4 0 [69 2 NOTE: Write the elements of each matrix exactly. A =

A: NOTE: Refresh your page if you can't see any equations. . the given matrix is

Q: Find ∣A−1∣ for the matrix

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Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Given A = 1 0 0 -3 1 1 1 - 2 -1 " x = and b = 300 150 400

A: Given that the system Ax=bHere A=1-3101-201-1 , b=300150400

Q: on f(x) = [x6] sin (x8 ) usi

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Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x2 + 2y2 + 2z2-2xy-2xz- 2yz,…

A: We have to find the quadratic form of the equation Q=2x2+2y2+2z2-2xy-2xz-2yz which is a polynomial…

Q: Find the matrix A (in terms of B, C, and D) if (4DA-'B )-1 = C

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Q: Find the inverse of the matrix 1 2 3 A-1) if A =| 2 3 1 3 1 2

A: Given,                  A=123231312

Q: [1 2) 13 · X = 2-

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Q: evaluate the matrix

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Q: Find a non-zero 2 x 2 matrix such that -5-2 6 15 -[88]- =

A: We have to find a non zero matrix such that the given rfelation satisfies.

Q: Rotate the quadratic function 5x^2 + 3y^2 + 2z^2 + 4xz = 14 to its principal axes and express this…

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Q: 1 if k = i and l = j if k = j and l = i if k = l but k # i, j 1 (Si3)ke = 1 otherwise.

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Q: -3 0 5] 1-3 0 5 18) 00 0 1 1 00 0 0 0 A) 5 B) 4 C) 3 D) 2

A: Consider the matrix

Q: Let A be annxn matrix and B= A+T, where I is the identity matrix, then it is possible for A and B to…

A: Let λ be the eigen value of A. As B=A+I So, eigen value of B will be λ+1 which is not same as λ

Q: Determine the cofactor of -2 in the matrix 1 0 3 7 -1 0. - -2 6 5

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Q: 6w- 2x -z = 5 6x - 5z = 1 -4x -y + 2z=-7 -2w-x + 3y + 6z = -9

A: Solution:Total Equations are 46w-2x+0y-z=5→(1)0w+6x+0y-5z=1→(2)0w-4x-y+2z=-7→(3)-2w-x+3y+6z=-9→(4)…

Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…

Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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Q: Solve for (A + B^T)*(A^T-B)*C and compute for the matrix inverse of B and AB.

A: Follow the procedure given below.