Drag and drop the given determinant ratios of x and yr=Then Drag the final answers of x and yr=2 19y =-3 1.... . . لينا لنا.-13y =::2 -5-3 1-132x + 19 = 5y-3x + y = -4::--5913-19-5-4 1-13!!-7317132-3-19-4-13

Answered: Image /qna-images/answer/e412d71d-955d-412d-9688-0e7acbd7e406.jpg

Answered: Drag and drop the given determinant…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Matrices And Determinants

Section7.4: The Determinant Of A Square Matrix

Problem 102E

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True or False ? a The determinant of a 22 matrix A is a21a12a11a22. b The determinant of a matrix of order 1 is the entry of the matrix. c The ij-cofactor of a square matrix A is the matrix obtained by deleting the ith row and jth column of A
Solve using Cramer’s rule. 415. Evaluate the determinant by expanding by minors: |322214103|
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Collinear Points and Determinants a If three points lie on a line, what is the area of the triangle that they determine? Use the answer to this question, together with the determinant formula for the area of a triangle, to explain why the points (a1,b1), (a2,b2) and (a3,b3) are collinear if and only if |a1b11a2b21a3b31|=0 b Use a determinant to check whether each set of points is collinear. Graph them to verify your answer. i (6,4), (2,10), (6,13) ii (5,10), (2,6), (15,2)
Guided Proof Prove Property 2 of Theorem 3.3: When B is obtained from A by adding a multiple of a row of A to another row of A, detB = detA. Getting Started: To prove that the determinant of B is equal to the determinant of A, you need to show that their respective cofactor expansions are equal. i Begin by letting B be the matrix obtained by adding c times the jth row of A to the ith row of A. ii Find the determinant of B by expanding in this ith row. iii Distribute and then group the terms containing a coefficient of c and those not containing a coefficient of c. iv Show that the sum of the terms not containing a coefficient of c is the determinant of A, and the sum of the terms containing a coefficient of c is equal to 0.
TEST Only one of the following matrix has an inverse. Find the determinant of each matrix, and use the determinant to identify the one that has an inverse. Then find the inverse. A=[141020101] B=[140020301]
The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six triple products. Show that the determinant of a 44 matrix involves 24 quadruple products.

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Drag and drop the given determinant ratios of x and y Then Drag the final answers of x and y x 2 19 -3 y = .. .. . ليتا. لينا. لنا. -13 1 = ل 2x + 19 = 5y -3x + y = -4 59 13 -19 -5 4 1 -13 !! - - 73 17 13 2 -3 -19 -4 -13