extraproblem131-ch1.pdf

# extraproblem131-ch1.pdf - MA131(Section 750002 Prepared by...

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MA131 (Section 750002): Prepared by Asst.Prof.Dr.Archara Pacheenburawana 2 (a) Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. bracketleftbigg 1 - 3 h - 2 6 - 5 bracketrightbigg Answer h = 5 / 2 (b) Which of the following matrices are in reduced row-echelon form? (i) 0 1 0 0 0 1 0 0 0 (ii) 1 0 0 0 0 0 0 0 1 (iii) 1 0 0 0 0 1 0 0 0 (iv) 1 1 0 0 1 0 0 0 0 Answer (i) and (iii) (c) Which of the following matrices are in reduced row-echelon form? (i) 0 1 0 0 0 0 (ii) 1 0 1 0 0 0 0 0 1 (iii) 1 0 0 1 0 0 1 1 0 0 0 0 (iv) 1 0 2 0 3 0 1 2 0 3 0 0 0 1 2 Answer (i), (ii), and (iv) (d) Which of the following matrices are in reduced row-echelon form? (i) 1 2 3 0 0 4 0 1 0 (ii) 0 0 0 0 0 1 0 0 0 0 0 1 (iii) 1 2 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 Answer (ii) and (iii) (e) Determine whether the following matrices are in row-echelon form, reduced row-echelon form, both, or neither.
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