Calculate the cofactor of the a32 - element in the following 3x3 square matrix: 1/k 1 A = -1 0 1 4 k

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A: The objective is to show that AP-1=A-1P for a non singular matrix A and a non negative integer P

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Q: Find the matrix A of the quadratic form associated with the equation. 3x2 – 2xy + 3y2+ 8z2 – 27 = 0…

A: Answer

Q: Solve the equation AB=BC for​ A, assuming that​ A, B, and C are square matrices and B is invertible.

A: Given equation is Since matrix B is invertible, so matrix exists Now, post multiplying the given…

Q: Determine the cofactor of a32 in the matrix. 6 -2 A =9 1 8. -2 00

A: The given matrix is:

Q: Find the matrix A of the quadratic form associated with the equation.x2 + y2 − 4 = 0

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Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 7 2.2 3 1 1…

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Q: The rank of the matrix a = b = c is: 1 a b a² 6² 1 1 C where

A: Given :          matrix =[111abca2b2c2]Also given :  a=b≠c

Q: Find the cofactors of the matrix -2 - 4 l1 2 3.

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Q: Show that if A is a square matrix that satisfies the equation A2 -2A +I= 0, then A-1 = 2I -A.

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

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Q: Find the symmetric matrix A associated with the given quadratic form.

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Q: Find diagonal matrix for given matrix by using formula: D= cAC [1 = To -2 A 2 -2 N O

A: The given matrix is, In the formula, D=C-1AC, the matrix C is the matrix of eigenvectors. The…

Q: Matrix A: 1 3 4 6.

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Q: matrix. A= [7   -9      5 0      5      4

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Q: Factor the matrix from the previous question into A = QAQ", where Q is an orthogonal matrix. [1 A =…

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Q: Find a matrix A to safisty the following equation: -1 (AT – 5 2 3 1

A: to find the inverse of 2*2 matrix, the formula is

Q: 32x+y -1 526 -1 x+4y 10

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Q: Find a 2 x 2 matrix B so that B2 = A, where

A: Given matrix A=-7-16817 To find matrix B such that B2=A.

Q: Given the following matrix, find the ADJOINT. 1 1 [2 C = |1 1 1 l1 -1 2.

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Q: Use the Cayley-Hamilton theorem to find A1, A°, and A“ for the given matrix A. 10 -8 - 4

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Q: Determine the cofactor of 2 in the matrix A = 1 9. 7 4 O-4 3. O -3 2.

A: Cofactor of any element aij is the determinant of the matrix formed by deleting row i and column j…

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 5 11 1 6 15…

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Q: Use an augmented matrix and row operations to find A-1, if it exists. (If the inverse does not…

A: find inverse

Q: Given a square matrix 3 x 3 such that 2AA' = A' and Det(A) + 0, find Det(4). %3D

A: Let the square matrix of 3×3 is A s.t

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A: To Determine: decide whether the given matrix A is invertible and find the inverse of the matrix by…

Q: For the given matrix, find an orthogonal matrix P and a diagonal matrix D such that P'AP = D. (Enter…

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Q: Find the matrix A of the quadratic form associated with the equation. 2x2 - 3xy - 2y2 + 13 = 0 2…

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: Find the matrix associated with each of the followingquadratic forms: 2x2 + 3y2 + z2 + xy − 2xz +…

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Q: Determine the cofactor C32 of the following matrix: 3 3 1. 1 -4 1 -3 5

A: Our Aim is to determine the cofactor C32 of the matrix given below:-33110-41-35 -(i)

Q: Find a formula in terms of k for the entries of A", where A is the diagonalizable matrix below. 4 -2…

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Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 20 -6 -6 -3…

A: To Find: The inverse of the matrix(if it exists).  20-6-6-311-312

Q: Find the matrix A of the quadratic form associated with the equation.9x2 + 10xy − 4y2 − 36 = 0

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Q: Find the cofactor matrix of the following matrix 1 0 1 A = 4 -2 5 1

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Q: Show that if A is a square matrix that satisfies the equation A2 - 2A + I = O, then A-1 = 2I - A.

A: Given that,                    A2-2A+I=0

Q: Find all values of the unknown constants a, b and c in order for the following 3 x 3 matrix A to be…

A: Given,           A= 2a-2b+2c2a+b+c35a+c0-27

Q: Find a formula in terms of k for the entries of A, where A is the diagonalizable matrix below. 5-6 A…

A: Here we have to find a formula in terms of k for the entries of Ak, where A is the diagonizable…

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 3 1 2 2 1 2…

A: Explanation of the answer is as follows

Q: Find the matrix X, such that XDC - 2XC — ХС? + С satisfies. 3 4 4 6 6 5 C = 1 2 1 D = 1 3 -2 4 -2 -4…

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Q: Find the solution set by setting up an augmented matrix and using Gaussian or Gauss-Jordan…

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Q: For each matrix A with real valued entries, find a diagonal matrix D and an invertible matrix Q such…

A: Part(a): Given matrix is, A=1332 Now, finding the eigenvalues of the given matrix,…

Q: Find the matrix A of the quadratic form associated with the equation.10xy − 10y2 + 4x − 48 = 0

A: The expression ax2 + bxy + cy2 is the quadratic form associated with the quadratic equation ax2 +…

Q: Find Hhe uinuerse of the matrix (if it exis ts). (if an answer does not exist, enter DNE.) 1 -3 -1…

A: Note:-  We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: Given the cofactor of matrix A, What is the adjoint of A?

A: Adjoint matrix is the transpose of cofactor matrix.

Q: Find the symmetric matrix A associated with the given quadratic form.

A: To determine: The symmetric matrix A associated with the given quadratic form. 5 x12 - x22  + 2 x32…

Q: Find c such that the number of the pivots to the matrix below is 2: 1 1 1 -1

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