.Use the following set of equations 2x1+ X2- X3 = -1 X2+ X3 = 2 X1+ 2x2- X3 = -1 (1) (2) (3) Using Gauss-Jordan elimination technique, the value of column 3 (C3) in the augmented matrix (A| b) after making the element (a22) :equals to 1 is T[1-,1/3-,1/2-] None of them T[1,1/3-,1/2-)

Q: Q7: Solve for matrix X in the matrix equation 3X + B = C , where B and C are B -10

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Q: a) Find the matrix of the quadratic form. Assume x is in R3 5x3-x3 +7x3-5x1x2 -3x1x3

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Q: b. -2x+y+6z=18 5x+8 z=-16 3x+2y=10z-3 Write the entries in the inverse matrix as fractions.

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Q: the matrIX A into a product QDQ" where Q is orthogonal and D is diagonal.

A: Given,          A=-5-1-1-1-3-1-1-1-3

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 – 4x1x2 - 2 x1X3 + 6 x2x3 2 2 -1 2 -2 1 (a)…

A: We have to find Matrix of the given Quadratic form.

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

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Q: Find a matrix X that solves the equation 1 2 3 4

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Q: Let. A=[3,2,1;4,2,3;-2,1,-3] Convert the matrix unit using elementary operations

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Q: Give a specific symmetric 3x3 matrix whose first row is [1 9 -2] 6. and whose second column is row…

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Q: let Q(x)= x12 -8x1x2 -5x22 , then matrix A of the quadratic from is A=?

A: Explanation is given below..

Q: 12 (b) Given D = 2, decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31,…

A: Given: The given matrix is D=2-3-12. To find: b) We have to decode the following message: Message:…

Q: Suppose that B is a square matrix with det(B) = -2. Find each of the following. (a) det(B6) = (b)…

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Q: Find the range of a (2 × 3) matrix B with rank(B) = 2

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Q: X1 + 3x2 – 2x3 + 2xs = 0 2x, + 6x2 – 5x3 – 2xg+4x5 – 3x6 = -1 X3 + 5x4 + 3x, = 1 x + 3x2 + 4x4 + 2xs…

A: Given that the system of linear equations is…

Q: Find matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

Q: Compute the quadratic form x¹Ax for the given matrix A and vector x. [59 0] A = 91 4, X = X2 04-2 x3…

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Q: 3 |2 -3 -47 Гз -17 The matrix product 2 4 5 |0 1 1.

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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: use the following matrix                    D=   [5  3]         D=  [4   6]  write the negative…

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Q: , and c

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

Q: 10) Find the transpose of the resulting matrix: AE 4 x 5 -100 3 5 A = 2 2 a. -|-7 26 29 26 C. - 29 7…

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Q: 1 0 2 -2 3 1 3X +|2 1 3 -1 -2 0 4 -1 5 1 5 II

A: The given equation is,

Q: Solve the matrix equation AX = B for X 5 2 B = 15 A = 13 X =

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Q: Determine the real number values of the constant a with which the matrix A= (14 a1)  is positive…

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Q: State the next elementary row operation that should be performed in order to put the matrix into…

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Q: 7. 2 1 -1 2 Matrix + 2 Matrix -1 3 11

A: Topic:- matrix addition

Q: How would I write the following 2 functions in matrix notation? Q(h) = (h, 2h, 3h) F(x, y, z) =…

A: We have to write the function as matrix notation. The given function is Q(h) = (h, 2h, 3h) Clearly,…

Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…

Q: 5. (16 points) Let A = [13¹], B = [-1¹ 63], and C = [29]. Compute each matrix sum or product if it…

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