For the tableau, X2 32 KHS 38 2 49 -5 -4 perform one pivot operation and enter the resulting matrix below. The pivot element has a box around it. P. X2 S1 S2 38 1,

Q: Q3. Find the dominant eign value by using Raleigh Quotient Method of the Matrix [4 1 A = |0 2 1 lo o…

A: Given matrix is upper triangular matrix therefore its eigenvalues are the diagonal entries, i.e., 4,…

Q: 1. Let B be the matrix obtained from A after the row operations 9R3 R3; R1 + R2, 4R1 +R3 → R3 and…

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Q: 2. Let 2 25 and B=| 32-1 23-2 A = 23 7 a) If possible, invert the matnix A b) then solve the matnx.…

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Q: 1 Given the matrix, A = 2 -1 3 find A-1, using the Gauss-Jordan method 4 1 8

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Q: Compute A? – 2A+ I. 4 A = |0 -4 |2 NOTE: Write the elements of the matrix exactly. ? ? ? A? – 2A + I…

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Q: 3 s): Consider the matrices A = 8. 4 10 1 (i) Use elementary row operations to find the inverse of…

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Q: Q2: (a) For given matrix A, find a 3 x 3 non-singular matrix P such that p-1AP is diagonal. A = |-3…

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Q: Find a QR factorization of the matrix A. [-6-12] A = | 3 36| 0-12 Select one: OA O B. OC. O D. Q = Q…

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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: The value of x for which the matrix A = (, ) is singular is a. 0 b. 6 c. -6 d. 12

A: The correct option is C .i.e. -6 .

Q: 1. Given the linear combination below, try to create a corresponding matrix representing it. Use…

A: The representation of the above equation in matrix form is in the image below.

Q: 9. A = -2 2

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Q: Q3. Find the rank of the following matrix A by reducing it into echelon form: 1 2 1 3 A = 5 3 5 7 7…

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Q: -1 3 Q1: Given A = B = 5. 3 find the matrix X if 2xT-AB3D -2 1 -3

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

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

Q: 2 Consider the matrix below. What is the value of 2a11 – 3a22+ a32 =? - 5 A = (aj) -1 3 -1 b) 4 d)…

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Q: (b) Table Q4(b) is generated from the function ƒ(x)= e* - 4x² + B , where B is the last two digits…

A: Given: fx=ex-4x2+B To find: f'1.5

Q: (4) Given matrix A = and that h(T) = T² – 2T – 7, find h(T).

A: We use properties of matrix

Q: c -r and det(A) = 6, which of the following could represent A d -t . Given matrix A =

A: Consider a matrix A. The inverse of the matrix is defined as, A-1=1AAdjA A defines the determinant…

Q: (a) Approximate the value of - Vx+ A Q4 dx, using two and three points Gauss Quadrature where A is…

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Q: 7. For a matrix B= 1 0 0 1 -1 0 5-1 -3 find B¹ by using the Cayley-Hamilton theorem.

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Q: (a) The matrix ( (AB)-1 )T comes from (A-1 )T and (B-1 )T In what order?(b) If U is upper triangular…

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Q: (4) Given matrix A = 3 and that h(T) = T² – 2T – 7, find h(T).

A: see 2nd step.

Q: 1. Which matrix represents the system of equations? [3x+y = -9 [x+5y = 16 [3 0 3 0|-9 A 0 5 3 1 1 5…

A: Here we have to determine which matrix represents the system of equations?  The given equation is…

Q: M 2P1 3. If A =| K [-p R 3 S is a singular matrix then find the value of P.

A: Solution -  We are given a matrix -  A=DM2PK3S-PRL   A singular matrix is a matrix whose determinant…

Q: [1 0 1] Q2. Is the matrix A = 0 1 1 defective or diagonalizable? If diagonalizable, write the…

A: We have to solve given problem:

Q: (2 -1 5). and that h(T) = T2 – 2T – 7, find h(T). (4) Given matrix A =

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Q: For matrix A below, make a change of variables that decouples the equation x' = Ax. Write the…

A: Given matrix is:  A=5-131 In the system y'=Dy, the matrix D is the diagonal matrix whose diagonal…

Q: nd the value of k for which the matrix 6. -10 A = 6. 17 4. has rank 2.

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Q: 3.3. Let a matrix B is B = [, В -2 3 Find B6 by using a nonsingular matrix P such that D = P¯'BP is…

A: B=01-23 Characteristic equation of B is given by  λ2-trBλ+detB=0 where trB, detBdenotes the trace…

Q: Given the linear system below: 25 a + 15b - 5c = 5 15a + 18b = -3 -5a + 11c = 6 a. Use Cholesky…

A: In part (a) we will use the chelosky Method in which Coefficient Matrics A can be Factorised by…

Q: (4) Given matrix A = G ). and that h(T) = T² – 2T – 7, find h(T).

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Q: Which ofthe following is the LU-factorization of the matrix a) b) 1. c) -1 [1 01 0] d) -3

A: Start from identity matrix

Q: (c) You are told that the matrix 02 2 Xx has no LU-decomposition. What are the possible values for…

A: We have to find the value of x.

Q: Q3: If you have the following matrix 11 27 85 100 60 56 32 0 1 5 R= 6 80 0 0 1 Determine the correct…

A: We want to find the inverse of the matrix.

Q: (d) Analyze the approximate value and the exact value for (7.8, 4.07) for the function f(x, y) =…

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Q: Let M-1 = [² ¹9]. 18 Then (2M¹)-¹ = [3] the above matrix None of the mentioned 4 [1/2]

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Q: Given the Matrix Below 5 -4 7 1 10 -2 7 -1 9 A = B = 2 9 -10 2 6 -2 O 5 2 12 -4 1 a. A+' (using…

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Q: -3 Find the matrix A if (I +2A")¯' = | -2 1

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Q: [이 F(0) = da -2

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Q: (4) Given matrix A and that h(T) = T? – 2T – 7, find h(T). =

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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: -4 Which of the following elementary row operations has the same effect as left multiplication by…

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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: 5 Let A = a b -2 and B = 1 where AB = I, the identity matrix of the appropriate size. - 3 Write down…

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Q: Find the relative forward and backward errors and error magnification factor for the following…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 12. Let A be a 3×3 matrix, and suppose that the matrix B is obtained from A by the following row…

A: Remark: Effect of elementary row operation on a matrix: If two rows of a matrix are interchanged,…

Q: (4) Given matrix A .3 5). and that h(T) = T² – 2T – 7,find h(T).

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Q: -2 9 For the matrix B = 1 if |B| = 0, what is the value of y? 1 Y 93m3

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