1. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c) diagonal, (d) scalar, or (e) identity matrix. 1. 0 cos 2n In el i 1. 1+ 2. 1 -1 i 00 -1 20 0 3. 7 0 7 0 i 30...

Extracted text: 1. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c) diagonal, (d) scalar, or (e) identity matrix. 1. 0 cos 2n In el i 1. 1+ 2. 1 -1 i 00 -1 20 0 3. 7 0 7 0 i 30 1 I. find DA and AD, if possible, where D = D,(3,0,2, –1) and A is the given matrix. 2i 0 1 311 0 1+i 8 0 -i A = 1 IfA = 3. II. *1 *2] And X = Solve each of the following equations: 1. (d) (B – 1)x = IC (e) Cx = A IV. Classify each of the following matrices according as it is (a) real, (b) symmetric, (c) skew-symmetric, (d) Hermitian, or (e) skew-hermitian, and identify its principal and secondary diagonals. 1. 0 -2 4 - 4 +i 3. 4 -2 10 14 10 2.


Extracted text: Lecture Worksheet 2 Solve the following problems systematically. Send your solution in the GClassroom. Find all numbers z such that Az3 + Bz² + Cz = D [2 4 2] 1. A= [1 3 . B = G 2 -1 1 1 D = L1 [2 4 21 -1 C = l1 3 1] 2 If possible, find a single matrix equal to the following: 2 2. (а) [-1 2 -2 1] - [10] | -2 非3 0 -11 [2 1] [1 1 (c) | 0 1 1 12 -1 0 1 Find values (if any) of the unknowns x and y which satisfy the following matrix equations: [3 -2] 3 3 0 = |3y 3y [y y] Lx 4 3. 3 х. L2 l10 10]