The following matrices are in row-echelon form. If possible, use backward substitution to find the solution as an ordered pair or triple. Write "no solution" for inconsistent systems and 4. "infinite solutions" for dependent equations. 1|-21 3 5 ol 0 [1 a) 0 1 Lo 0 0 1 2-115 c) 0 1 -101 51 d)bo 7 0 0151 -1 3 101 -2 1 0 1 0l 01 e) 0 1 Lo

Q: [1 4 D=2 0 3 15 -1

A: At first we augment the given matrix with an identity matrix 14520315-1100010001 Now we convert the…

Q: 144 Use the fact that the matrices 1 5 4 145 to solve the following system of linear equations. x +…

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Q: Perform the given row operations: -6 -5 -4 - 6° 1) - 3 2 R2 + R1 7 - 4 4 7 -7 -6 3 5R3 → R3 -7] 2) 6…

A: To perform the given row operations.

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: Let a and b be real numbers satisfying a² - a -1 = 0 and 6² - 36 - 2 = 0, and let V = 1 a b ab (a)…

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Q: Q1) Solve the following system of algebraic equations using matrix inverse method 6 10 2 (2)

A: Given system of algebraic equation is 6221xy=52. We have to find the solution of the given system of…

Q: 2X + 3Y – 2Z = 5 5Y + 3Z = -2 4X – 3Y + Z = 1

A: Matrix form is 2 3 -2 5 0 5 3 -2 4 -3 1 1

Q: Perform the given row operations: 3 7 -8 -87 3-2 -7 R₁ R3 -7-8 5 1) 7

A: We have to perform the row operations as given instructions.

Q: If possible, compute the following. If an answer does not exist, enter DNE. (A+B) + C = + A+ (B+ C)…

A: We have to solve the addition form of Matrix.

Q: Solve the following simultaneous equations, using matrices. + 7y = 9

A: The given question is taken from the Matrix in which we have to find the valye of the x and y from…

Q: 6х — 4у — 7z %3 -8x + 8y – 1z = 8х — 5у — 92 - 7 -

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Q: 0 1 4 -5 MB- 1 1-1 9 1 -1 2 -3 Need Help? R₁+R₂ →>>> R3-R₁ R₁ + (1/2) R3 R3 + 2R₂ (1/11) R3 R₁ -…

A: To find the missing entry, we perform the indicated operations. Hence we obtained the missing entry.

Q: Solve the following set of simultaneous equations using the matrix inverse method: X₁ + x2 + 2x3 = 6…

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Q: if (A|b) is in reduced row echelon form, prove that A is also in reduced row echelon form.

A: (A|b) is the augmented matrix formed by placing elements of matrix B to the right of elements of…

Q: Find the LU factorization of -3 A = -15 -6 such that the main diagonal of \left[ -4 3 -21 16 -10 10…

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Q: If h(x)=3^x and g(x)=5x-7 then h(g(2))=

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Q: Q2) Solve the following linear system equations by matrix: 3x + 4y = 2,8y +z 1 and 6x - 5z 7.

A: 2 Given system of linear equations are 3x+4y=28y+z=16x−5z=7.....1 Now, write the system of equations…

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

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Q: Suppose the only solution of AX-B is the zero matrix (A is nxn and B is nx1). Then the RREF of A | B…

A: Given the only solution of AX=B is the zero matrix ( A is nxn and B is nx1 ) . The RREF of A | B is…

Q: 01: Solve the following equations using matrices: x1 - 2x2 + 3x4 = 2 2x1 + 2x2 + x3 + 6x4 = 4 -x1 –…

A: We have to find out the solution of given linear equations

Q: (x-3y +3z = -8 7x+y +2z = 6 3x +2y - z = 4

A: Topic:- matrix

Q: 1. Write the following linear system in matrix form. 2x, + 3x₂ <= 0 3x₂ + x₂ = 0 2x,

A: NOTE: As per our guidelines, I have solved one question (Question number 1) out of many. If you want…

Q: A single row operation was performed on the matrix on the left to produce the matrix on the right.…

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Q: Use the matrices 10 -14r -11 -15q 14z 12 2y A = and B = -4 -2 -10 11w 4. -9 to compute the indicated…

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Q: What is the area of a rectangle that has a length of 3x and a width that is 5 less than 2 times the…

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