
1 00 0 1 0 00 -2 3 0 0 0 1 I = 0 0 0 0 6. (10%) Let matrices A and 0 -4 5 0 1 0 -6 7 0 0 0 1 B=(I+A) (I-A) , please calculate the matrix (I+ B) - o0
1 00 0 1 0 00 -2 3 0 0 0 1 I = 0 0 0 0 6. (10%) Let matrices A and 0 -4 5 0 1 0 -6 7 0...
3. Consider 2 00 0 0 3 12 A=1-4 3 3-2 -2 21 0 You are given that the characteristic polynomial of A is XA (z) = (z 2). Find the Jordan form J of A and find a matrix P such that P-1AP J. (You do not need to find P-1.) (You may use an online RREF calculator, but remember you only have an ordinary calculator in the exams.)
3. Consider the matrices 2 0 0 0 2 1 0 0 0 2 00 0 0 2 1 0 0 02 and B- 0 0 2 1 0 0 02 Show that a) SA (b) rk(A -21)- rk(B- 2I); (c) A and B are not similar.
3. Consider the matrices 2 0 0 0 2 1 0 0 0 2 00 0 0 2 1 0 0 02 and B- 0 0 2 1 0 0 02 Show that...
QUESTION 3 100 200 300 400 500 600 00 800900 Consider the production possibilities frontier for an economy that produces only sofas and cars. The opportunity cost of one 8 0名◇"lab. " ㅖ “ ® @ ↓囲
dansendinn n Totals counted for 500 00 0 50 Requirement 2. Com the cost of the unit is competed and transferred out to the Packaging Department and the Blending Department onding Work in Process Inventory Complete the Production Cost Report that you began in Reument by calculating the por equivalent und in these and on by calculating teasten d ances Step Com b os Eroner ces de cost per equivalent amount to the restoranda ham 0 Data Table Step-by-step Painting...
2) Identify the heterogeneous mixture: 8 8 88 0 0 0 o o 00 00 I loooo @ 18 (d) (c) (e) (9)
4 00] 2) Diagonalize matrix1 4 0, if possible. 00 5
17. Suppose that 0 00 0 1 1 0 0 0 0 0 2 0 0 0 0 0 0 100 A= 0 0 0 0 0 1 0 0 1 0 0 Find: 1) QH decomposition of A 2) the pseudo-inverse of A 3) an orthonormal basis for each of the four fundamental subspaces of A 4) the projection matrix of the column space and the projection matrix of the row space of A
17. Suppose that 0 00...
Problem 10. Solve the following homogeneous systems 32 2 101 2. x'0 2 1 0 ж. 0 00 2
Problem 10. Solve the following homogeneous systems 32 2 101 2. x'0 2 1 0 ж. 0 00 2
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5)) Draw a function that is: Increasing on: (-co,-2), (1,°0) and has a domain of D: (00, 00) R: (-0o,-2] U (0,00)
5)) Draw a function that is: Increasing on: (-co,-2), (1,°0) and has a domain of D: (00, 00) R: (-0o,-2] U (0,00)