Explanation Given Information: We must operate on a 3 × 3 matrix with entries of numbers greater than or equal to -5 and less than equal to 5. Concept used : 1. To find determinant of 3 × 3 matrix, you first take the first element of the first row and multiply it by a secondary 2 × 2 matrix which comes from the elements remaining in the 3 × 3 matrix that do not belong to the row or column to which your first selected element belongs. Taking as a reference the 3 × 3 matrix determinant shown in equation 2, we construct the first part of the result of this operation by selecting the first element of the first row and column (which is constant a), and then multiply it by a matrix produced from the four elements which do not belong to either the row of the column in which a is. Multiply a with this secondary 2 × 2 matrix obtained and that is the first term of the solution. 2. The second term starts with the second element of the top row (constant "b") accompanied by a negative sign, which now will multiply a secondary 2 × 2 matrix which results, once more, from the four elements in the matrix which do not belong to either the column of row in which "b" is. 3. We repeat step one, but now with the third element from the top row of the matrix. Formula used: det a b c d e f g h i = a e i − a f

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Author: Lay

Publisher: PEARSON

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Chapter 3.1, Problem 46E

To determine

To Find: The reasonable answer of det A whose entries are greater than or equal to -5 and less than equal to 5.

(a) 300

(b) -220

(c) 1000

(d) 10

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Chapter 3.1, Problem 45E

Chapter 3.1, Problem 47E

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The reasonable answer of det A whose entries are greater than or equal to -5 and less than equal to 5. (a) 300 (b) -220 (c) 1000 (d) 10

Solution Summary: The author explains how to find the determinant of a 3times 3 matrix with entries greater than or equal to -5.

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To Find: The reasonable answer of det A whose entries are greater than or equal to -5 and less than equal to 5. (a) 300 (b) -220 (c) 1000 (d) 10

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To Find: The reasonable answer of det A whose entries are greater than or equal to -5 and less than equal to 5.

(a) 300

(b) -220

(c) 1000

(d) 10