In Exercises 7 and 8, write the augmented matrix of each system of linear equations.
7.
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- Write the system of equations that corresponds to the augmented matrix: [112321214120] .arrow_forwardCan any matrix be written as a system of linear equations? Explain why or why not. Explain how to write that system of equations.arrow_forwardWhat operations can be performed on a linear system to arrive at an equivalent system?arrow_forward
- Solve the homogeneous linear system corresponding to the coefficient matrix. [121200242412]arrow_forwardWrite each system of linear equations as an augmented matrix. 377. {4x+3y=2x2y3z=72xy+2z=6arrow_forwardReferring to Exercise 19, suppose that the unit cost of distributing the products to stores is the same for each product but varies by warehouse because of the distances involved. It costs $0.75 to distribute one unit from warehouse 1 and $1.00 to distribute one unit from warehouse 2. Organize these costs into a matrix C and then use matrix multiplication to compute the total cost of distributing each product.arrow_forward
- Determine if the statement is true or false. If the statement is false, then correct it and make it true. For the product of two matrices to be defined, the number of rows of the first matrix must equal the number of columns of the second matrix.arrow_forwardSolve: {4x3z=53y+2z=73x+4y=6 .arrow_forwardOne hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a system of linear equations to determine how many liters of each solution are required to obtain the desired mixture. Solve the system using matrices.arrow_forward
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