Exam 9: Matrices and Determinants

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Solve the problem. -A basketball fieldhouse seats 15,000. Courtside seats sell for $9, end zone for $6, and balcony for $5. Total for a sell-out is $89,000. If half the courtside and balcony and all end zone seats are sold, ticket sales total $50,500. How many of each type of seat are there?

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Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the matrix product AB, and interpret the significance of the entries of this product. -Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the matrix product AB, and interpret the significance of the entries of this product. -

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Solve the problem. -Factory A makes 9 model-A, 5 model-D, and 8 model-M train sets. Factory B makes 11 model-A, 6 model-D, and 8 model-M train sets. If model-A sells for $15, model-D for $23, and model-M for $35, write a 2 x 3 matrix To summarize the income by model.

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Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation. -x + 3y = -8 -14x - 4y = -2

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Solve the problem. -Barnes and Able sell life, health, and auto insurance. Sales for May and June are given in the matrices. Life Health Auto Solve the problem. -Barnes and Able sell life, health, and auto insurance. Sales for May and June are given in the matrices. Life Health Auto   Find the matrix that would give total sales. Find the matrix that would give total sales.

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Solve the system of equations corresponding to the given matrix equation. -Solve the system of equations corresponding to the given matrix equation. -

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Find the determinant of the given matrix. -Find the determinant of the given matrix. -

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Find the values that make the equation true. -Find the values that make the equation true. -

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Solve the system, using Cramer's rule, if possible. -5x - y + 5z = 73 6x + 6y - 8z = 12 -7x - 8y + z = -96

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Find the determinant of the given matrix. -Find the determinant of the given matrix. -

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The size of two matrices is given. Find the size of the product AB and the product BA, if the products exist. -A is 3 × 4, B is 4 × 3.

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Solve the system using Gaussian elimination. -Solve the system using Gaussian elimination. -

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Find the determinant of the given matrix. -Find the determinant of the given matrix. -

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Determine the size of the matrix. -[3 -6 7 7]

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Given matrices A and B, find the indicated matrix if possible. -Given matrices A and B, find the indicated matrix if possible. -  Find AB. Find AB.

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Find the determinant of the given matrix. -Find the determinant of the given matrix. -

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Find the determinant of the given matrix. -Find the determinant of the given matrix. -

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Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation. -0.3x - 0.4y - 0.1z = 9 -0.5x + 0.6y + 0.1z = -13 0.1x + 0.3y - 0.2z = 2

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Find the product. -Find the product. -

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Find the inverse of the matrix, if possible. -Find the inverse of the matrix, if possible. -

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