Solve for the given systems of linear equations. Solve for the unknown variables using all four methods discussed. a. -3x-y + 4z = 1 5x -y + 2z = 10 7x+2y-2z=-4 b. -51₁ - 2i3+ 12i₂ = -20 1₁ - 31₂ +13-51₂ = 0 -2i₁ + 121₂-3i₁ = 20 412-313 + 14 = 10

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Q: x = 1-y - 2z 2x -z = y x-4 = z- 2y

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Q: -2 -2 0 3 4 4 -1 1 -1 | A = |0 -1 3 3 2 -3 4 -7 -2 0 9 -5-

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Q: 6) Find the inverse of the following systems. x+2y=1 а. x+3y =-1 2y - z = -3 b. х-у-z%3D2 x- y+2z =…

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Q: What does interchanging any two rows (or columns) do to the value of the determinant?

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Q: 36. Show that 1| tr(A) | tr(A²) tr(A) 1 det(A) = 2 - for every 2 × 2 matrix A.

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Q: Determinants Example 49. Find 1 3 1/1 5 -8

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Q: 6 1 -2 A = 3 1 4 1 -1 1 -9 2 -2 2 3.

A: To find the determinant of A=3601-231410-11-92-22

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Q: Quadrilateral HIJKHIJK has vertices H(−1, 3)H(−1, 3), I(2, 3)I(2, 3), J(2,−1)J(2,−1), and…

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Q: A(0,0) B(1,5) C(2,1) Find the equation of the circle passing through the points by calculating the…

A: It is given that: (x1, y1) = (0, 0) (x2, y2) = (1, 5) (x3, y3) = (2, 1)

Q: Solve for the given systems of linear equations. Solve for the unknown variables using all fou…

A: All the methods are too lengthy that's why I am answering with the first method only. Kindly repost…

Q: 2 2 3 4 -2 3. 3. 1. 3.

A: The given matrix is 12323334-2We have to find the determinant using the Basket method and Co-factor…

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Q: 1. 1 0 1 0 0 1 1 0 |A → 0 4 0 E A → 1 EE, A → 0 E3 E2 E A = 2 -1 1. 0 0 1. -1 1 E1 E2 E3 Е

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Q: Using Determinants Show that 1 X x? y y= (x - y)(y – 2)(z – x) 1 1 2.

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Q: Use properties of determinants to evaluate the given determinant by inspection. 0200 -5000 0006 0 0…

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Q: folve for Determinants using pivotal method B = 1 2 3 5 4 -1 7 8 4 4 7 2 4 34 4 G 5 7 6 2 1

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Q: Evaluate the determinant (3 5 -1 4 1. A= 2. B = 302 2 7 1 264

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Q: 4) Determinant of [(C+4D)(CD-DT)] D using Cofactor Expansion Method

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