Loans A bank gives three loans totaling $400,000to a development company for the purchase of threebusiness properties. The largest loan is $100,000more than the sum of the other two, and the smallestloan is one-half of the next larger loan. Represent the amount of money in each loan as x, y, and z,respectively.a. Write a system of three equations in threevariables to represent the problem.b. Use a matrix equation to solve the system and findthe amount of each loan.

Q: Write the following system of equations as an augmented matrix in echelon form. Y = 1 3 2x + X 3y

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Q: Write the system of equations as an augmented matrix -5y7b = -24 -7y -26 6b 00

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Q: small software corporation borrowed $320,000 to expand its software line. The corporation borrowed…

A: Given,  A small software corporation borrowed $320,000 to expand its software line. The corporation…

Q: Translate the given system of equations into matrix form. x + y + 4z = -2 4x + 2y - z = -8 2-3 3 000…

A: we want to translate given equations into the matrix form x+y+4z=-24x+2y-z=-8x4-y3=1 we know that…

Q: Write the following system of equations as an augmented matrix in echelon form. 2x + y = 1 x − 3y =…

A: To write the system of equations as an augmented matrix in echelon form, we can perform row…

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

A: We have given a matrix equation .where A and b are:Solution vector is Solution can be obtained by…

Q: Write a system of equations for the following situations and solve using inverse matrices. 3. A…

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Q: A small software corporation borrowed $380,000 to expand its software line. The corporation borrowed…

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Q: Express the situation as a system of two equations in two variables. Be sure to state clearly the…

A: Solution:   Let us assume that; The number of TV ads are x and the number of radio ads are y.

Q: Solve the following system of equations by hand, using either the tabulation method or the matrix…

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Q: Set up a system of linear equations for each question.  Write each system as an augmented matrix.…

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Q: Complete the augmented matrix which corresponds to

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Q: A chemical plant produces products D, E, F, and G. There are twice as many D as E  produced on a…

A: There are twice as many D as E produced on a daily basis. 2D=E 2D-E=0…

Q: Find the augmented matrix for the following system of linear equations: -5x 16у + 4х + 12у + -4 31x…

A: for the Equation , AX=B augmented matrix is [A|B]

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.