3) Find the vector projection of A onto B. (Projs A). b\ If possible, use matrix inversion method to solve simultaneous equations: 5x + 15y+56z = 35 -4x-11y-41z = -26 -x-3y-11z = -7

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

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Q: (b) x1 + x2 + 2x3 = 5 + x3 = -2 2x1 + x2 + 3x3 = 3 %3D X1 %3D %3D

A: We see from the given system that, if we add first two equations, we will get the third equation.…

Q: i) Using Gaussian Elimination method, verify that x, = 2, x2 = -1, and x3 = 3. ii) Show that b is in…

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Q: Give example 2. Determinant of a 5 × 5 matrix using properties of determinants

A: The solution of the problem is given in the next steps.

Q: Explain the fact” The determinant is zero when the matrix has no inverse”.

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Q: Calculate the 3x3 determinant: 3 2 -5 -3 4 -3 -6-7 -4

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

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Q: Solve the system below using the specified method. Write your answer in vector form. X1 - 3x2 = 2…

A: I have written in the form Ax=b and used inverse matrix method.

Q: Illustrate the multiplying any row (or column) by a scalar do to the determinant?

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Q: Define how to combine vectors using matrices.

A: To Explain: how can we combine vectors using matrices.

Q: 9. x2 + 5x3 = 0 4x₁ + 6x₂ - x3 = 0 X3 -x₁ + 3x₂8x3 = 0

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Q: (-81,24,16)

A: Determinant of matrix is=-5258

Q: 4. Express the following statements in one of the forms P V Q, P ^ Q, or ~ P. Be sure to clearly…

A: (a) Let P be the statement  P: The matrix A has zero determinant  Therefore , the given statement :…

Q: Find the matrix of the mirror reflection about the x-z plane in R³.

A: Any point on the three dimension can be represented using the point: x, y, z. If the point: x, y, z…

Q: Give a 3 x 3 elementary matrix E which will carry out the row operation (-9) R₂ R₂. E= Test that E…

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Q: Suppose the row echelon form of a system of equations is x−2y−9z == −10 y+2z == −1 Enter the…

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Q: Why do vectors perform more quickly than arrays?

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Q: X₁ Describe the solution set, x = x₂ X3 fill in the answer boxes within your choice. (Type an…

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Q: linearly independent If they are linearly dependent, find scalars that are not all zero s linearly…

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Q: 1. Let A = a. V 4-0 -8 and b = 1 3 -5 -3 -7 V V Solve Ax = b by hand and write your solution in…

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Q: Give three examples of application of determinant in engineering

A: (1) Determinant can be used to find solutions of the multi variable linear equations.

Q: Describe all solutions of Ax 0 in parametric vector form, where A is row equivalent to the given…

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Q: Q3:-a) Find the values of (x, y) for the following matrix equation: 3 [х — 2у 0ј 6. -2 -2 x+ y]

A: Given that we need to find the values of x and y for which the following matrix equation satisfied.…

Q: Explain how to evaluate a third-order determinant.

A: Consider the provided information, Let A matrix is A=abcdefghi Find the determinant of the matrix.…

Q: Find the matrix A of the quadratic form associated with the equation. 9x2 - 6xy +9y2 + 24z² - 29 = 0

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