8. a) Using at least two sentences, explain how you would find the inverse of a matrix. Include any conditions that the matrix must meet to be able to find the inverse. Your answer 8. b) Using at least three sentences, explain how you would use an inverse matrix to solve a system of linear equations. Your answer

Q: Determine whether the statement below is true or false. Justify the answer. The solution set of the…

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Q: 7. Determine whether each statement is sometimes, always, or never true for matrices A and B and…

A: 7.a)addition and substraction is done for same order matrices.threfeore if A+B exist, then A-B will…

Q: Write the given system of equations as a matrix equation and solve by using inverses. = k₁ 9x₁ - x2…

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Q: Use an inverse matrix to solve each system of linear quations or matrix equation.

A: Now let

Q: 4. Consider the following augmented matrix. 1 a. Using variables x1, x2, X3 write out the system of…

A: Given the augmented matrix

Q: Given A and b to the right, write the augmented matrix for the linear system that corresponds to the…

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Q: Use an inverse matrix to solve the given system of equations. x1 = x2 = X₂ = X1 + X3 X₁ + x₂ + x3 =…

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Q: A corporation wants to lease a fleet of 12 airplanes with a combined carrying capacity of 220…

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Q: Write the following matrix equation as a system of linear equations, but do not attem solve it. -2…

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Q: When will-a system of equations have no solutions? * Your answer

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Q: Suppose A is a 7x5 matrix. How many pivot columns must A have if its columns are linearly…

A: Given that, A is a 7 x 5 matrix.Now, how many pivot columns must A have if its columns are linearly…

Q: Use a matrix equation to solve the system of linear equations. = 10 2*+2y 5x + 24y = 0 !3! What is…

A: The given system of equations is non-homogeneous and consistent.

Q: Solve the system by using the inverse, and verify by Cramer's Rule. 4x1 + 2x2 = -8 2x1 + 9x2 = 12 *…

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Q: d. Use inverse matrix to solve system of linear equations 5x +7y = -4 2х +3у -5

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Q: How do you find the inverse matrix?

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Q: Please solve and show all work.

A: x1=-16 x2=100/3Explanation:

Q: Solve the system by using the inverse of the coefficient matrix. 11) 2x1 - 6x2 = -6 3x1 + 2x2 = 13

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Q: If matrix M is equal to  2 3 0 1 2 3 0 -1 -5 then, the inverse of matrix M is equal to -7 ? 9 5 ?…

A: Let us consider the matrix A Then the inverse of the matrix is obtained using augmented matrix…

Q: 10) Describe a consistent, independent system of linear equations and give examples to justify your…

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Q: Describe and compare the solution sets of x₁ + 6x2-3x3 = 0 and x₁ + 6x2-3x3 = -5. X₁ Describe the…

A: We have to describe and compare the solution set of x1+6x2-3x3=0 and x1+6x2-3x3=-5 and then find…

Q: please solve it q2,a

A: Question a).Solution: I. x = -1, y = 19/7, z = 11/7II. Inverse of the co-efficint matrix = -1/7[[-3,…