[2 -2 0] 36. Consider the matrix 3 5 0 -4 6 0 7 -1 M = 2 1 Find the QR factorization of M.

Q: Find the matrix X S uch thất 2A + B + X =0 where -1 2 3 -2 A = B = 4 Select one: a. -1 -2 -7 13 O b.…

A: Given 2A+B+X=0 From above  X=-(2A+B) We will find matrix X as follows

Q: x+2] is an invertible matrix, t 4 LA 2х-3 х+1

A: If A is an invertible matrix than determinant of A is not equal to zero.

Q: -x-1 -x 2 Let A = 1 2 (i) Determine an expression for det(A). (ii) For what values of x will the…

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Q: Find values for the variables so that the matrices are equal.

A: Given that the matrices are equal. x4=6y

Q: Q1: Let A= B 3 1.Find the values of a and B for which A is 01 3 1. Non-singular. 2. SDD. 3. PD. For…

A: 1. A=α20β31013A is non singular⇒A≠0A=α9-1-23β-0+0β-0       =8α-6β

Q: Find the triangular factorization A = LU for the matrix          2  4  -6  A=    1  5  3         1…

A:

Q: Suppose A = 2 a) is positive semi definite matrix then: a 10 O a Ja < 20 O b. a <-V20 O. lal < v20 O…

A: A positive semi definite matrix is the one whose eigen values are greater than or equal to zero. So,…

Q: Given the matrix 2 2 2 A = 0 2 3 7 7 1 Find the |A| by transforming the matrix A to the triangular…

A:

Q: 2. (a) Suppose (B − C)D = 0, where B and C are m x n matrices and D is invertible. Show that B = C.…

A: Explanation of the answer is as follows

Q: 4. Find the cofactor matrix for the matrix. 5 9 1 8 5 6 4

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Q: (d) The decomposition of matrix A = -1 3 5' p 0 0 2 1. 1 0 and is L = (9 \0 1/9 4 1 -1 3 5 U = 18 20…

A: We have to find  the value of p,q,r.

Q: 1. Find the general solution of x =x2 – x1 + t, x, =x2. 1 2 3 2. Explain why we cannot aclculate the…

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Q: Find the triangular factorization A = LU for the matrix A = 1  1  6      -1  2  9       1  -2  3…

A: Given       A=116-1291-23

Q: Find the symmetric matrix A associated with the given quadratic form. 2x2-3y2-z2-4xy

A:

Q: 3. Find the matrix X, such that XC - 2C = DXC satisfies. 3 4 4 4 1 C = 1 2 1 D = 1 0-2 4 1 -1 -3

A: Since there are multiple questions, we are solving the first question. Please post the questions…

Q: Q7: Write the matrix Г1 -2 0 07 3 10 0 100 [4 -8 0 5] A = as the product of elementary matrices. To…

A: Elementary matrices are matrices, which are obtained by performing a single row operation to…

Q: 12. Find the A-1 and AT for the following matrix A2x2 65 A = 8

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Q: Consider the matrices A = [₁, B = 3₁ C= ¹), D=1 K₁ = [5], K₂=[₁²2] Solve AX + BY = K₁ CX + DY = K₂…

A: Concept: We have the matrices A=3211 , B=0110 , C=111-1 , D=11-14 Now the matrices X and Y are…

Q: h(T) = T 2 − 2T − 7,

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

A: Matrix Multiplication

Q: Given:  The linear system of equation is  2z + y − x = 5 2x + 3y + 4z= -1 4x +  y= -11 To…

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

A: Now we will find h(A)

Q: 2. Find the general matrix output in terms of a, b, c, and d of T(ar³ + bx² + cx + d) when –12 12]…

A: in the given question we have to find the genral matrix output in terms of a,b,c,d for this first…

Q: Find the characteristic equation for the matrix A 3 0 0 A = 0 1 -1 0. 1 3 -X3 – 7X? – 16X + 12 = 0…

A: Use the method of characteristic equation to find it as in next step.

Q: (b) For the given matrix. 1 0. 1 4 0. 1 0. 6. 1 Find the new value of the matrix after applying a…

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Q: [1 A 2 1 0 and b : 3 2 3 Jse Gauss-Jordan elimination to compute the inverse of the matrix

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Q: 7. Determine, using matrices, if the following system of equations is dependent. If it is dependent,…

A: Given system of equationx+4y-2z=-32x-y+5x=128x+5y+11z=30 converting above system of equation into…

Q: Q1: Find a matrix P that diagonalizes A , and check your work by computing P-'AP ; [2 0 -2 1) 4 = %…

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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: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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Q: Express the quadratic equation 2x2 + 4xy + 7x – 2y + 8 = 0, in the matrix form x" Ax + Kx +f = 0,…

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Q: Q4. In the iterative formula Gn+1 = D¯'(C – AG„), what 20 20 -1 -1 20 15/ -1 20 '15 20 0 20 (20 -1…

A: D is the diagonal matrix, G(n+1) is the (n+1)th iteration of the roots.

Q: [3 Given A = 2 2 1 1 3, find [4 1. the lower triangular matrix. 0. 0. 0. 01 a. 2 -1/3 -2/3 -5 01 С.…

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Q: of the following Is the fundamental solution matrix for the coefficient i ? 1

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Q: 07 1 1 1 2 Find the characteristic equation of the matrix 0 2

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Q: 2. Given the matrix A below, [1 1 0 11 0 2 1 2 A = 2 10 1 L2 0 1 4- solve for det inv A.

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Q: 1 3 Find a QR factorization of the matrix A = 1 4 0 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: Given the matrix 2 22 A = 0 2 3 7 7 1 Find the |A| by transforming the matrix A to the triangular…

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Q: Match each of the following elementary row operations (performed on 2 rows) with the elementary…

A: Solution:-

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: 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: 7. ). Find all a and 3 > 0 so that the matrix B : 23 6 2 is %3D В 2 diagonally dominant; 12G

A: For a matrix is to be diagonally dominant, there are three conditions or properties, first one is…

Q: 2) Consider the matrices A = 1 D = [ ] B = K1 = 6 1, K2 = L10 2 [5 l10 2. Solve AX + BY = K1 CX + DY…

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Q: Find a QR factorization of the matrix A. -4 10] A = | 2-30| 0 10] Select one: OA. OB. OC. O D.…

A: Let's solve Q and R factorization of matrix.

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

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Q: 3 2 21 3. Transform the given matrix to RREF -2 1 1 -1 0]

A: Given :322-2011-10

Q: for the matrix        7   2   5 A=3   1  4      1    2  1 what is the element in the third row and…

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

A:

Q: 1 4 9 7 For the matrix A where A 2 5 12 11 3 6 15 15 Determine the nullspace of A

A: First we have to reduce into row echelon form of the given matrix.