{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

sample_tt1_1

sample_tt1_1 - Math 136 Sample Term Test 1 1 NOTES...

This preview shows pages 1–2. Sign up to view the full content.

Math 136 Sample Term Test 1 - 1 NOTES: - Questions 4d, 5, 6 on this test cover material that will not be covered on our term test 1. 1. Short Answer Problems a) List the 3 elementary row operations. b) Does the spanning set span 1 2 1 , 0 1 0 , 1 0 1 represent a line or a plane in R 3 ? Give a vector equation which describes it. c) If A is an n × m matrix and B is an m × p matrix, then what is the size of AB ? d) Explain why ~a × ( ~ b × ~ c ) must be a vector in the plane with vector equation ~x = s ~ b + t~ c , s, t R . 2. Consider the system of linear equations: z 1 - z 2 + iz 3 = 2 i (1 + i ) z 1 - iz 2 + iz 3 = - 2 + i (1 - i ) z 1 + ( - 1 + 2 i ) z 2 + (1 + 2 i ) z 3 = 3 + 2 i a) Row reduce the matrix to RREF using elementary row operations. b) What is the rank of the coeﬃcient matrix? c) Find the general solution of the system. 3.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 2

sample_tt1_1 - Math 136 Sample Term Test 1 1 NOTES...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online