QUESTION 1 1.1 Consider the matrices which follow. 1 1 1 A = 1 1 - (HD) 1 1 1 1 State whether each of the following stat

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Question 1 1 1 Consider The Matrices Which Follow 1 1 1 A 1 1 Hd 1 1 1 1 State Whether Each Of The Following Stat 1 (89.72 KiB) Viewed 25 times

QUESTION 1 1.1 Consider the matrices which follow. 1 1 1 A = 1 1 - (HD) 1 1 1 1 State whether each of the following statements is True or False. 1.1.1 A is an identity matrix. 1.1.2 B is a constant matrix. 1.1.3 A B. 1.1.4 A BT. 1.2 Find the transpose of each of the matrices which follow. 11 12 0 -1 A = 21 22 B = (-38). a = (9). 0 C = (A BT a). 2 1 5 0 31 32 1 1.3 Consider the matrices which follow. 10 -2 00 -1 -2 1 4 1 0 0 000 00-2 00-1 A = B = C= " " 001 21 1 State whether each of the following statements is True or False. 1.3.1 A is symmetric matrix. 1.3.2 B is a diagonal matrix. 1.3.3 C is a lower triangle matrix. 1.3.4 There is a unit vector in A, B and C. 1.4 Find (a) the eigenvalues and (b) the normalized eigenvectors of the matrix A = ( ² - ¹/² ). -5 [29 Marks] (1) (1+1+1+3=6) B = (1) (1) (1) (1) (5+10=15)