a. 1 0 0 Determine I2 and I if I = 0 -619 0 0 0...

 

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a. 1 0 0 Determine I2 and I if I = 0 -619 0 0 0 1 b. What is I" equal to for any n 1? C. Prove your answer to part (b) by induction. 7. a. If == A-(1)x-(2) , and B = show that AX 2x1 + x2 = 3 x1 x21 - = B is a way of expressing the system using matrices. b. Express the following systems of equations using matrices: i. 2x1 x2 = 4 - x1+x2=0 ii. x1+2+2x3 = 1 x1+ 2x2 x3=-1 1323 = 5 iii. x1 + x2 = = 3 22 = 5 35 a. 1 0 0 Determine I2 and I if I = 0 -619 0 0 0 1 b. What is I" equal to for any n 1? C. Prove your answer to part (b) by induction. 7. a. If == A-(1)x-(2) , and B = show that AX 2x1 + x2 = 3 x1 x21 - = B is a way of expressing the system using matrices. b. Express the following systems of equations using matrices: i. 2x1 x2 = 4 - x1+x2=0 ii. x1+2+2x3 = 1 x1+ 2x2 x3=-1 1323 = 5 iii. x1 + x2 = = 3 22 = 5 35