hw6_revised2011

# hw6_revised2011 - HOMEWORK 6 MATRIX OPERATIONS 1 Construct...

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

1 HOMEWORK – 6 MATRIX OPERATIONS 1. Construct a 3 x 3 matrix whose elements are: a. a ij = i + j b. a ij = i * j 2. Find the values of x, y and z if: 2 ° 3 ° − ± 2 ² + ± 3 ² − ° ³ = ´ 12 6 34 9 µ 3. If A = ´ 3 7 5 9 µ , B = ´ 12 4 3 4 µ , C = ´ 3 2 4 0 µ , find each of the following: a. -2A – (B + C) b. A – (4B + C) c. A + (B + C) d. (A + B) + C e. BC f. CB 4. Find the matrix C if A = ´ 3 7 2 5 µ , B = ´ 3 2 4 1 µ , and 5C + 2B = A. 5. If A = ´ 3 5 4 2 µ , show that A 2 – 5A – 14I = 0 where I = ´ 1 0 0 1 µ . 6. Given A = · 0 ¸ 0 ¹ 2 ¸ · ¹ ¸ º and X = · ¹ 0 ¸ 2 ¹ 0 º where a, b, and c are non-zero constants: a. Find [A] * [X]. b. Find the determinant of the matrix A. c. Find the determinant of the matrix X. d. Find [A] + [X] 7. Given A = 3 2 0 4 5 7 2 6 9 º , B = 1 12 6 3 5 2 1 6 8 º , and C = 1 1 3 2 1 2 1 1 1 º , verify the following using an Excel spreadsheet: a. A * B B * A b. (A * B ) * C = A * (B * C) c. A * (B + C) = A * B + A * C 8. Hand calculate the determinant of the following matrix: » 2 3 3 1 1 1 1 5 1 2 2

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.

## This note was uploaded on 11/14/2011 for the course CE 3010 taught by Professor Clement during the Fall '09 term at Auburn University.

### Page1 / 2

hw6_revised2011 - HOMEWORK 6 MATRIX OPERATIONS 1 Construct...

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

View Full Document
Ask a homework question - tutors are online