Make a change of variable, x = Py, that transforms the quadratic form 6x +18x1x2 + 6x2 into a quadratic form with no cross-product term. Give P and the new quadratic form. Which of the following matrices can be used as P in x = Py to produce a quadratic form with no cross product term? OA. √2 √2 √2 √2 OB. √√2 √√2 ... √2 O c. √2 √√2 √√2 O D. √2 √2 √2 √2

Q: Fill in the missing entries by performing the indicated row operations to obtain the row-reduced…

A: We perform the indicated operation.

Q: find the RREF in no more than five row operations. -1 0 1 0 1 0 1 0 1 2 0 -2 2 0 1 0 -1 0 -1

A: It is required to find the row reduced echelon form of given matrix. Only 5 row operations are…

Q: 1 -27 Given: A1 -2 5 2 1 a. Find the inverse of A using elementary row operations (label properly…

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Q: Find the matrix of the quadratic form. 8x1x2-10x1x3 + 8x2x3 Select one: OA. 08-10] 80 8 0 O B. O C.…

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Q: Find the matrix of the quadratic form. Assume x is in R³. a. 2x² +8x² − 3x²3 - 10x₁ x₂ + 8x₁×3 −…

A: Concept

Q: Give bases for row(A), col(A), and null(A). row(A) col(A) null(A) 2-4 201 2 1 2 1 1-2 3 2 2 000 0000

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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: clif A is 2x2 mabrix with IAl =L (row, row2) and B:/5row, Where A-/row Then 8 2 rowl+ 36 a. IBI = 30…

A: Given that |A| = -2  To find: |B| Here A=row1row2B=row12row1+3row2

Q: З^1 — 2л2 + 5аз — —17 2x1 + 4x2 – 3x3 = 29 5х1 — 6х2 — 7*3 — 7

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Q: Ql: By using matrix inverse method. Find the value of x and y in term of z. 2X + Y-Z 3 X-3Y+2Z-1

A: Let us determine the values of X and Y in terms of Z using matrix inverse method in the next steps.

Q: - Use the fact that if A= A ab (8) cd OA. -1 then A = 1 ad-bc d <-C OB. The matrix does not have an…

A: Use the fact that We have to find the inverse of the given matrix also we have to  check that AA-1 =…

Q: Find the matrix A of the quadratic form associated with the equation.16x2 − 4xy + 20y2 − 72 = 0

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Q: Fill in the missing entries by performing the indicated row operations to obtain the row-reduced…

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Q: Find the matrix of the quadratic form. 5x + 3x² + 2x3-8X1X2 + X2X3 Select one: O A. 5 -4 1/27 -4 30…

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Q: Solve the following simultaneous equations, using matrices. 7x + 9y = 3 and 10x + 13y = 4.

A: The given system of equations is 7x+9y=3 and 10x+13y=4. The augmented matrix is 79310134.

Q: Q2) Factorize then solve the following matrix (2 -1 1) 4 ()- 3 3 9 =| 45 3 5. \29,

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Q: Use row reduction to find the inverse of the given matrix if it exists, and check your answer by…

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Q: 1. Find the inverse matrices for the following: 8. A = 6. 4 1 -2 1 В 4 -7 3 -2 -4 2

A: We will use adjoint method to find inverse of matrix

Q: -4 -1 1 Identify the elements on the main diagonal. 11 2 0 5 -6 -7

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