Exam 10: Matrices and Determinants

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Evaluate the expression. Evaluate the expression.

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

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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. 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.   The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars).    (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). 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.   The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars).    (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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Of the products AB, BA, A2, and B2, which ones are possible for the given matrices? Of the products AB, BA, A<sup>2</sup>, and B<sup>2</sup>, which ones are possible for the given matrices?

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Solve for x given the following equation involving a determinant. Solve for x given the following equation involving a determinant.

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Show that A is the inverse of B. Show all your work. Show that A is the inverse of B. Show all your work.       ALERT TO PUBLISHER: Diploma contained variable b and a condition involving b that is not used in this problem. I deleted these from the question. Show that A is the inverse of B. Show all your work.       ALERT TO PUBLISHER: Diploma contained variable b and a condition involving b that is not used in this problem. I deleted these from the question. Show that A is the inverse of B. Show all your work.       ALERT TO PUBLISHER: Diploma contained variable b and a condition involving b that is not used in this problem. I deleted these from the question. ALERT TO PUBLISHER: Diploma contained variable "b" and a condition involving "b" that is not used in this problem. I deleted these from the question.

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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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Use a determinant to determine whether the points Use a determinant to determine whether the points   and   are collinear. Show all work. and Use a determinant to determine whether the points   and   are collinear. Show all work. are collinear. Show all work.

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