MATH 105 Linear Algebra Assignment 2 PDF

MATH 105_Linear Algebra Assignment 2 1. Given the matrices: 5 7   2 5 A  B  3 0   4 3  1 2 3  2 1...

MATH 105_Linear Algebra Assignment 2 1. Given the matrices: 5 7   2 5 A  B  3 0   4 3  1 2 3  2 1 0 P   4 5 6  Q   3 1 4 1 0 1 1 0 7  a. Evaluate i. 2A + 3B ii. A – 2B iii. -P -3Q b. Calculate the following products. i. AB ii. BA iii. PQ iv. QP v. AQ vi. BP c. Find the following Determinants. i. |A| ii. |B| iii. |P| iv. |Q| v. |AB| vi. |PQ| d. Find the Minors of the following matrices. i. A ii. B iii. Q iv. P v. AB vi. PQ e. Find the Cofactors of the following matrices. i. A ii. B iii. Q iv. P v. AB vi. PQ f. Find the Adjoint of the following matrices. i. A ii. B iii. Q iv. P v. AB vi. PQ j. Use the Determinants and Adjoint in e. and h. above respectively to find the inverse of the following matrices. i. A ii. B iii. Q iv. P v. AB vi. PQ INSTRUCTIONS  Write solution clearly using blue ink  Indicate your FULL NAME, INDEX NUMBER, LEVEL, PROGRAMME and SESSION on every page clearly  Indicate the page numbers clearly for every sheet  Scan document and package as a SINGLE PDF file  Save the file with your FULL NAME, INDEX NUMBER and PROGRAMME  All assignments should be submitted via the LMS (Moodle) not my email, please DEADLINE FOR SUBMISSION  Keep the completed work  Date and time for submission will be communicated later