9. Let T : P2(R) → R² be the linear transformation given by a – 4b T(a + bx + cx²) =|, a + 36 + 5c Find the matrix representation of T relative to the ordered bases {O H} B = {1,1+x, 1+ x + x² } and C = 10. Let T : M2(R) → R³ be the linear transformation given by 7 (: )-[- a +d (). 4a – 2b + 8c + 6d 36 – 9c Find the matrix representation of T relative to the ordered bases {OE } and C = %3D 3

9. Let T : P2(R) → R² be the linear transformation given by a – 4b T(a + bx + cx²) =|, a + 36 + 5c Find the matrix representation of T relative to the ordered bases {O H} B = {1,1+x, 1+ x + x² } and C = 10. Let T : M2(R) → R³ be the linear transformation given by 7 (: )-[- a +d (). 4a – 2b + 8c + 6d 36 – 9c Find the matrix representation of T relative to the ordered bases {OE } and C = %3D 3

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Subtract 1.2a“ – 0.7a from the sum of 0.6 a4 + 1.5a and 0.4 a4 - 1.1a First, we will translate the words of the problem into mathematical symbols. Then we will perform the indicated operations. The words of the problem contain the key phrases subtract from and sum. Since 1.2a4 – 0.7a is to be subtracted from the sum, the order must be reversed when we translate to mathematical symbols. Subtract 1.2a4 0.7a from the sum of 0.6a + 1.5a and 0.4a4 1.1a. [(0.6 a4 + 1.5a) + (0.4 at – 1.1a) ] - (1.2a* – 0.7a) Use brackets [ ] to enclose the sum. Next, we remove the grouping symbols to obtain 0.6 a4 + 1.5a + 0.4 at – 1.1a -1.2a4 + 0.7a Change the sign of each term within (1.2a4 - 0.7a) and drop the parentheses. at+ a Combine like terms. %D Subtract -0.6q? – 0.6q from the sum of 0.1q? - 0.6q and 0.3q² + 0.1q.
Please show a step-by-step solution. Do not skip steps, and explain your steps. Write it on paper, preferably. Make sure the work is clear.
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I am lost on what to do. I've tried to list what I know, but I got confused and have no leads. I'm working on Problem 3. Pleases help and show steps how to work out problem.
Please show detailed step-by-step explanation and solution for each problem (problem #2, problem #3, problem #4, problem #5, and problem #6). Please use the results of problems #2 and problems #3 to solve and show your work for problems #5 and problems #6 (just like the hint stated).
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can i get the whole solution for this question