please explain response True or False?O TrueFalseA matrix is row equivalent to a unique matrix in echelon form.Explain your response.

Answered: True or False? True False A matrix is…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section: Chapter Questions

Problem 2CC

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Similar questions

Explain the difference between the row-echelon form and the reduced row-echelon form of a matrix.
CAPSTONE In your own words, describe the difference between a matrix in row-echelon form and a matrix in reduced row echelon form. Include an example of each to support your explanation.
Determine the dimension of the matrix 14710238.
Determine if the statement is true or false. If the statement is false, then correct it and make it true. For the product of two matrices to be defined, the number of rows of the first matrix must equal the number of columns of the second matrix.
Can we multiply any column matrix by any row matrix? Explain why or why not.
Can any system of linear equations be written as an augmented matrix? Explain why or why not. Explain how to write that augmented matrix.
Determine if the statement is true or false. If the statement is false, then correct it and make it true. Every matrix has a unique reduced row-echelon form.
Referring to Exercise 19, suppose that the unit cost of distributing the products to stores is the same for each product but varies by warehouse because of the distances involved. It costs $0.75 to distribute one unit from warehouse 1 and $1.00 to distribute one unit from warehouse 2. Organize these costs into a matrix C and then use matrix multiplication to compute the total cost of distributing each product.
Can a matrix that has 0 entries for an entire row have one solution? Explain why or why not.
Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be used to create a leading 1 at the top of the first column. Which do you prefer and why?
Nutrition A nutritionist is studying the effects of the nutrients folic acid, choline, and inositol. He has three types of food available, and each type contains the following amounts of these nutrients per ounce. (a) Find the inverse of the matrix [313424324] and use it to solve the remaining parts of this problem. (b) How many ounces of each food should the nutritionist feed his laboratory rats if he wants their daily diet to contain 10 mg of folic acid, 14 mg of choline, and 13 mg of inositol? (c) How much of each food is needed to supply 9 mg of folic acid, 12 mg of choline, and 10 mg of inositol? (d) Will any combination of these foods supply 2 mg of folic acid, 4 mg of choline, and 11 mg of inositol?
Is there only one correct method of using row operations on a matrix? Try to explain two different row operations possible to solve the augmented matrix [9312|06] .

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True or False? True False A matrix is row equivalent to a unique matrix in echelon form. Explain your response.