Practice_exam2

# Practice_exam2 - Math 262 Practice Midterm 2 1 Determine...

This preview shows pages 1–3. Sign up to view the full content.

Math 262, Practice Midterm 2 1. Determine all the values of a for which the system has no solution. x 1 + x 2 + x 3 = 2 2 x 1 + 3 x 2 + 2 x 3 = 5 x 1 + 3 x 2 + ( a 2 3) x 3 = a + 2 A. a = 0 only. B. a = 2 only. C. a = 2 or a = 2. D. a = 2 only. E. None of the above. 2. Which of the following set of functions is linearly independent? A. f 1 ( t ) = 1 , f 2 ( t ) = t 3 , f 3 ( t ) = t 2 + 2 t + 3 B. f 1 ( t ) = 2 , f 2 ( t ) = 3 t, f 3 ( t ) = 4 t 2 C. f 1 ( t ) = 3 , f 2 ( t ) = t 2 + 1 , f 3 ( t ) = t 2 1 D. f 1 ( t ) = t 3 , f 2 ( t ) = t 2 + 1 , f 3 ( t ) = 2 t 2 t, f 4 ( t ) = t 2 + t + 1 E. f 1 ( t ) = t 3 , f 2 ( t ) = 2 t 2 + 1 , f 3 ( t ) = 3 t 2 + 1 3. Determine all values of k so that { 1 + kx 2 , 1 + x + x 2 , 2 + x } is a basis for P 2 . A. k ̸ = 1 B. k ̸ = 2 C. k ̸ = 1 D. k = 1 E. k = 1 1

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

View Full Document
4. Let A = 8 29 3 5 19 2 2 8 1 and A - 1 = a 5 1 1 2 1 b 6 c . Then a + b + c = A. 0
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 03/01/2012 for the course MA 262 taught by Professor Ber during the Fall '08 term at Purdue.

### Page1 / 5

Practice_exam2 - Math 262 Practice Midterm 2 1 Determine...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://www.coursehero.com/file/6828545/Practice-exam2/", "fetch_time": 1495497205000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2017-22/segments/1495463607242.32/warc/CC-MAIN-20170522230356-20170523010356-00191.warc.gz", "warc_record_offset": 841176015, "warc_record_length": 70375, "token_count": 658, "char_count": 1560, "score": 4.09375, "int_score": 4, "crawl": "CC-MAIN-2017-22", "snapshot_type": "longest", "language": "en", "language_score": 0.8156865835189819, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00035-of-00064.parquet"}