Question 19Determine whether the matrix is in echelon form, reduced echelon form, or neither.[1 0-4 2]01-5-500 0000 0 0O NeitherReduced echelon formO Echelon form

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Answered: Determine whether the matrix is in…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter11: Matrices And Determinants

Section11.CT: Chapter Test

Problem 4CT

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CAPSTONE In the matrix equation aX+AbB=bAB+IB X,A,B and I are square matrices, and a and b are non-zero scalars. Justify each step in the solution below. aX+AbB=bAB+B aX+bAB=bAB+bB aX+bAB+-bAB=bAB+bB+-bAB aX=bAB+bB+-bAB aX=bAB+-bAB+bB aX=bB X=baB
Nutrition Refer to Exercise 61. Suppose food type C has been improperly labeled, and it actually contains 4 mg of folic acid, 6 mg of choline, and 5 mg of inositol per ounce. Would it still be possible to use matrix inversion to solve parts (b), (c), and (d) of Exercise 61? Why or why not?
Industrial System An industrial system has two industries with the input requirements below. (a) To produce 1.00 worth of output, Industry A requires 0.20 of its own product and 0.30 of Industry Bs product. (b) To produce 1.00 worth of output, Industry B requires 0.10 of its own product and 0.50 of Industry As product. Find D, the input-output matrix for this system. Then solve for the output matrix X in the equation X=DX+E, where E is the external demand matrix E=[40,00080,000].
Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. Write the third column of the matrix as a linear combination of the first two columns if possible. [102422751]
(a) The matrix I=[1001] is called an _____ matrix. (b) If A is a 22 matrix, then AI= _____ and IA= _____. (c) If A and B are 22 matrices with AB=I , then B is the _____ of A.

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Determine whether the matrix is in echelon form, reduced echelon form, or neither. [1 0-4 2] 01-5-5 0000 10000 O Neither Reduced echelon form O Echelon form