Exam 10: Matrices

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Use the matrix capabilities of a graphing utility to find AB , if possible. Use the matrix capabilities of a graphing utility to find AB , if possible.

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B

Use the matrix capabilities of a graphing utility to solve the following system of linear equations: Use the matrix capabilities of a graphing utility to solve the following system of linear equations:

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C

Find the determinant of Find the determinant of   . .

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D

Solve for X in the equation given. Solve for X in the equation given.

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Find the inverse of the matrix Find the inverse of the matrix   . .

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Use the matrix capabilities of a graphing utility to find the determinant of the matrix Use the matrix capabilities of a graphing utility to find the determinant of the matrix   . .

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Use the matrix capabilities of a graphing utility to find the inverse of the matrix Use the matrix capabilities of a graphing utility to find the inverse of the matrix   (if it exists). (if it exists).

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Use the matrix capabilities of a graphing utility to find the determinant of the matrix Use the matrix capabilities of a graphing utility to find the determinant of the matrix   . .

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Given Given   , find   . , find Given   , find   . .

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Solve the system of equations below by the Gaussian elimination method. Solve the system of equations below by the Gaussian elimination method.

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Solve the system of equations below by the Gaussian elimination method: Solve the system of equations below by the Gaussian elimination method:

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Use a determinant to find an equation of the line passing through the points Use a determinant to find an equation of the line passing through the points   and   . and Use a determinant to find an equation of the line passing through the points   and   . .

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Use a determinant to find the area of the triangle shown below. Use a determinant to find the area of the triangle shown below.

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A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17 A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work.

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If possible, find 2 A 5 B . If possible, find 2 A 5 B .

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Solve for X in the equation given. Solve for X in the equation given.

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Find the determinant of Find the determinant of   . .

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Use Cramer s Rule to solve the following system of linear equations: Use Cramer s Rule to solve the following system of linear equations:

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If possible, find AB . If possible, find AB .

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Find the inverse of the matrix Find the inverse of the matrix   (if it exists). (if it exists).

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