Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text.(a) A 4 × 7 matrix has four columns. (b) Every matrix has a unique reduced row-echelon form. (c) A homogeneous system of four linear equations in four variables is always consistent. (d) Multiplying a row of a matrix by a constant is one of the elementary row operations.
Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text.(a) A 4 × 7 matrix has four columns. (b) Every matrix has a unique reduced row-echelon form. (c) A homogeneous system of four linear equations in four variables is always consistent. (d) Multiplying a row of a matrix by a constant is one of the elementary row operations.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 93E
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Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text.
(a) A 4 × 7 matrix has four columns.
(b) Every matrix has a unique reduced row-echelon form.
(c) A homogeneous system of four linear equations in four variables is always consistent.
(d) Multiplying a row of a matrix by a constant is one of the elementary row operations.
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