Explanation Given information: The matrix is [ 1 0 − 3 0 1 5 ] . Concept used: A matrix is in row-echelon from if it satisfies the following conditions: The non-zero number in each row is 1 . This is called leading entry. The leading entry in each row is to the right of the leading entry in the row immediately above it. All rows consisting entirely of zeros are at the bottom of the matrix. Calculation: The given matrix is [ 1 0 − 3 0 1 5 ] . From the above matrix it is observed that the leading entry is 1 To determine (b) To check: Whether the matrix [ 1 0 − 3 0 1 5 ] is in reduced row-echelon form. To determine (c) To find: The system of equations so that the matrix [ 1 0 − 3 0 1 5 ] is the augmented matrix.

7th Edition

ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 6.1, Problem 13E

To determine

(a)

To check:

Whether the matrix [10−3015] is in row-echelon form or not.

To determine

(b)

To check:

Whether the matrix [10−3015] is in reduced row-echelon form.

To determine

(c)

To find:

The system of equations so that the matrix [10−3015] is the augmented matrix.

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Chapter 6.1, Problem 12E

Chapter 6.1, Problem 14E

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1. Given that h(t) = -5t + 3 t². A tangent line H to the function h(t) passes through the point (-7, B). a. Determine the value of ẞ. b. Derive an expression to represent the gradient of the tangent line H that is passing through the point (-7. B). c. Hence, derive the straight-line equation of the tangent line H 2. The function p(q) has factors of (q − 3) (2q + 5) (q) for the interval -3≤ q≤ 4. a. Derive an expression for the function p(q). b. Determine the stationary point(s) of the function p(q) c. Classify the stationary point(s) from part b. above. d. Identify the local maximum of the function p(q). e. Identify the global minimum for the function p(q). 3. Given that m(q) = -3e-24-169 +9 (-39-7)(-In (30-755 a. State all the possible rules that should be used to differentiate the function m(q). Next to the rule that has been stated, write the expression(s) of the function m(q) for which that rule will be applied. b. Determine the derivative of m(q)

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Chapter 6 Solutions

College Algebra

Ch. 6.1 - If a system of linear equations has infinitely...Ch. 6.1 - Write the augmented matrix of the following system...Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Dimension of a Matrix State the dimension of the...Ch. 6.1 - Prob. 10E

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(a) To check: Whether the matrix [ 1 0 − 3 0 1 5 ] is in row-echelon form or not.

Solution Summary: The author analyzes whether the matrix is in row-echelon form if it satisfies the following conditions: The non-zero number in each row is 1.

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(a)

To check:

Whether the matrix [10−3015] is in row-echelon form or not.

(b)

To check:

Whether the matrix [10−3015] is in reduced row-echelon form.

(c)

To find:

The system of equations so that the matrix [10−3015] is the augmented matrix.

Want to see the full answer?

Chapter 6 Solutions

(a) To check: Whether the matrix [ 1 0 − 3 0 1 5 ] is in row-echelon form or not.

Solution Summary: The author analyzes whether the matrix is in row-echelon form if it satisfies the following conditions: The non-zero number in each row is 1.

Videos

(a) To check: Whether the matrix [10−3015] is in row-echelon form or not.

(b) To check: Whether the matrix [10−3015] is in reduced row-echelon form.

(c) To find: The system of equations so that the matrix [10−3015] is the augmented matrix.

Want to see the full answer?

Chapter 6 Solutions

(a)

To check:

Whether the matrix [10−3015] is in row-echelon form or not.

(b)

To check:

Whether the matrix [10−3015] is in reduced row-echelon form.

(c)

To find:

The system of equations so that the matrix [10−3015] is the augmented matrix.