(-1 2 (b) Compute p(A) for the given matrix A = and the polynomial p(x)=x² – 2x+1 0 3

Q: For the tableau, X2 32 KHS 38 2 49 -5 -4 perform one pivot operation and enter the resulting matrix…

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Q: - True or False: Let A be a 4 x 4 matrix. If detA = 5, then det(-2A)=10 X - True or False: R^2 is a…

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Q: (-1 3 2 Find the polynomial of a square 3×3 matrix A=| 1 0 -2|given that -3 1 P(x) =14+19x– 3x² –…

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Q: -1 Using Doolittles method for the following matrix A = 0 L-2 L- matrix and U - matrix. 2 11 86 0 51…

A: Given, A=-121086-205

Q: 2. Find the values of x such that the rank of matrix 3x – 8 3 3 3 За — 8 3 - 3 3 3x – 8 is less than…

A: See the attachment

Q: Q1: If you have the following matrix 0.2 X1 - 0.7 X2+ 0.4 X3 0.6 X1-0.5 X2 + 0.8 X3 = -0.14 -33 0.4…

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Q: finding the matrix of S 0 T (a) by direct substitution and (b) by matrix multiplication of [S] [T].

A: Given: Tx1x2=x1-x2x1+x2,  Sy1y2=2y1-y2

Q: -1 -1 | | 4. For the semidefinite matrix A = -1 2 -1 write x' Ax as a -1 -1 sum of two squares.

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Q: 3. Local pollution levels are determined by p(x;y) : R² →→ R', where x is the number of…

A: The Hessian matrix (H) is defined by,                                           H = fxxfxyfyxfyy…

Q: 2 – 1 Find the values of a for which the matrix A = 2– 2 1 is invertible. 2

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Q: Let -1 7 -1 A = 1 15 -2 (5a) Find a 3 x 3 matrix P and a diagonal matrix D = - 12 0 0 13 such that A…

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Q: [x x2 1 (b) Determine the values of x so that the matrix A = 2 1 is invertible. -1

A: A matrix is invertible if and only if its determinant is non zero.

Q: -2 2 Find the QR-factorization of the matrix A = 1

A: We have to find QR factorization of given matrix.

Q: Invert the following matrix 3x – 2y = 9 -x + 3y = 3

A: Solution: Consider the given system of equations: 3x - 2y = 9-x + 3y = 3 The coefficient matrix of…

Q: -3 -1 Find all a so that the matrix A = 1 -1 is positive -1 4

A: Matrix A is position if and only if all of the leading principal minors are positive.    Then follow…

Q: 2 3. Let A be an invertible matrix such that A-¹ = 0 1 2 1 3 0 1 01 Solve the system (2A²)x= b,…

A: In this question we have to solve the system of equation.

Q: 2a) Let A be a 3 × 3 matrix A = Show that A is invertible if a +0 and a #b. 2b) Let C be a 3 x 3…

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Q: -1 5 Q3. Find the inverse of the matrix A = (if it exists). 3 2

A: Given: -15-32

Q: Let -1 -1] 1 A = 15 -2 [(5a)] Find a 3 x 3 matrix P and a diagonal matrix D =|0 12 0 such that A =…

A: Here 3*3 diagonal matrix is nothing but matrix formed by eigen values of the given matrix. We first…

Q: Diagonalize the matrix 1 0 A = -2 3 -1 -2 0 2 In other words, you need to find a diagonal matrix D…

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Q: The Matrix A =| -1 2 is not invertible. 0 1 O True O False

A: Given: Matrix A is given as follows: A=-1201   Invertible matrix definition: A matrix is said to be…

Q: 2 1 p-1 20 P= 0 3 Find a matrix P such that 0 3

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Q: 3] [1 2 Find A¹ of The Matrix A = 3 2 -1 3 1 2]

A: As per the instruction, we will be answering the first one. Given: Now,…

Q: ......*.. If A is a 2x2 matrix such that det(A) = -3 and tr(A) =5 %3D then the characterestic…

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Q: for a matrix A 3 6 2 5 if f(x)=(x+2)(x-2), calculate f(A)

A: Given: Matrix A=3625 To Find: f(A) when f(x)=(x+2)(x-2)

Q: -3 -1 6. Find all a so that the matrix A = 1 -1 is positive -1 1 | defined; 4.

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Q: -2 1 To show that the matrix A = -1 1 satisfies its char- 1 -3 2

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Q: |2 0 if A=| -3 -2 4 and B= 1 find the Matrix X such that 3A+4X=5B 1 3

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Q: 2 0 Find the spectrum of the matrix A = 2 X(A) = { Ex: 5 :}

A: Consider the matrix  2002

Q: 3 1 Let A Solve the matrix equation -3 -1 XA - X = 2AT + I for X.

A: To solve the matrix equation XA-X=2A^T+I

Q: 1 3 Find a QR factorization of the matrix A = 1 4 0 2

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Q: x-2 1. A= 3x-6 4x-11 Given that the matrix A is singular, find the possible values of x.

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Q: Given the matrix 2 1 A = |0 3 1 1 0 -1 and the polynomial p(x) = x³ + a.x² + bx + c, find the values…

A: GivenA=21003110-1p(x)=x3+ax2+bx+cp(A)=Op(A)=A3+aA2+bA+c=O21003110-1.21003110-1.21003110-1+a21003110-…

Q: If A is a 2 x 2 matrix such that det(A) - 3 and tr(A) =5 then the characterestic polynomial of A is…

A: The characteristic polynomial is, p(λ) = λ² - (tr A) λ + (det A)  Here, tr(A) = 5 and det(A) = -3

Q: -3 -1 2 A = | 1 -1 -4 -1 3 Find an invertible matrix P and a diagonal matrix D such that D = P-'AP.…

A: Given that we have to find P and D

Q: 1 2 4 Suppose matrix A: A=3 16 x 3 2 Determine the value of x if matrix A is singular.

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Q: 3. Local pollution levels are determined by p(x;y) : R² → R', where x is the number of manufacturing…

A: 3. Given that, the Hessian matrix of p is H=6y-66x6x6y-6 Hessian matrix is of the form,…

Q: 3. Let A be an invertible matrix such that A-¹ = NOT 2 0 1 2 01 1 1 Solve the system (2A2)x= b,…

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Q: (-2 2 13 -1 -2 8 0 6 What is the cofactor of the element zero (0) in the matrix (-1 -34 3 34

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Q: Let A be the matrix 5 3 2 Find p(A). p(x) = x³ – 2x + 4 p(A) =

A: Given: A=5312 and p(x)=x3-2x+4.

Q: (V). (16') Find the QR factorization of the matrix A=(x1,x2,x3), where 4 2 1 2 1 Xị = ,X2 = ,X3 = 2…

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Q: Q1/find the inverse of the square matrix (A), by using (Gaussian elimination method) * 1 2 2 A =|3 3…

A: Given: Matrix A=122331112

Q: 4. Evaluate the matrix polynomial x²-4x²-x+4I for each of the following matrices [1 -1 а. [1 1 2] b.…

A: b. The characteristic equation of the matrix is  |A-λI|  =     (1-λ)   1   2       1   (2-λ)   1…

Q: Q1: For given matrix A, find a 3 × 3 non-singular matrix P such that P-1AP is diagonal. 1 A =|-3 -5…

A: Given :-  For a given matrix A, a non- singular matrix P such that P-1AP is a diagonal. A =…

Q: Q3 Let A be n × n matrix that has zeros on the main diagonal and ones everywhere else. Example of a…

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Q: 3 -1 6) If X = is a matrix of order 2x1, given that A= [1 2 B = C = find the matrix X such that AX…

A: Given A=3-112, B=31, C=1-2 and X=pq

Q: [1 1 x] (b) Determine the values of x so that the matrix A = |1 x is invertible. Lx

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 3 0 1] 0 2 1 5 2- Find A. A-1 if the matrix A is given by: A =| 0

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Q: 8. Q1. a) If A = 4 and B = then find the matrix X such that 2A +3X = 5B

A: We have to find the matrix X such that 2A+3X=5B where matrices are given as: A=804-236 and…