7.For the following system of equations, find the values of x, y, and z using the matrixinversion technique (not Cramer's Rule). Show all intermediate steps.x + 2yz = 112xy + 3z = 77x3y2z = 2

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Answered: 7. For the following system of…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.7: Solving Systems With Inverses

Problem 41SE: For the following exercise, solve the system using the inverse of a 22 matrix 41....

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Similar questions

Use Cramers Rule to solve the system of linear equations for x and y. kx+(1k)y=1(1k)x+ky=3 For what values of k will the system be inconsistent?
For the following exercise, solve the system using the inverse of a 22 matrix 41. 12x15y+15z=3110034x14y+12z=74045x12y+32z=14
For the following exercises, set up the augmented matrix that describes the situation, and solve for the desired solution. 58. The three most popular ice cream flavors are chocolate, strawberry, and vanilla, comprising 83% of the flavors sold at an ice cream shop. If vanilla sells 1% more than twice strawberry, and chocolate sells 11% more than vanilla, how much of the total ice cream consumption are the vanilla, chocolate, and strawberry flavors?
The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six triple products. Show that the determinant of a 44 matrix involves 24 quadruple products.
For the following exercise, create a system of linear equations to describe the behavior. Then, solve the system for all solutions using Cramer’s Rule. 64. Men aged 20 - 29, 30 - 39, and 40-49 made up 78% of the population at a prison last year. This year, the same age groups made up 82.08% of the population. The 20 - 29 age group increased by 20%, the 30 - 39 age group increased by 2%, and the 40 - 49 age group decreased to 34 of their previous population. Originally, the 30-39 age group had 2% more prisoners than the 20—29 age group. Determine the prison population percentage for each age group last year.

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7. For the following system of equations, find the values of x, y, and z using the matrix inversion technique (not Cramer's Rule). Show all intermediate steps. x + 2yz = 11 2xy + 3z = 7 7x3y2z = 2