4.4.29. For each of the following matrices A, (i) find a basis for each of the four fundamental subspaces; (ii) verify that the image and cokernel are orthogonal complements; (iii) verify that the coimage and kernel are orthogonal complements: (a) (2 −1), (b) (59) 0 2 1 2 (c) 01 2 1 2 0 1 () () −1 0 -3 (d) -1 1 3 1 -2 3 0 0 3 3 2

Q: could you clarify part a please ? is that a g? or a 9? what is part a answer??

A: Given that f(x)=x2-5x-14x-7we have to find limx→7f(x)

Q: 1.4.14 how do we solve for it or calculate ?

A:

Q: can you explain the i.e part of step 2 part B?

A:

Q: 5.1 #7

A: Given that                  A=60-1054-403-3502-425, λ=5

Q: 5.1q10

A:

Q: 5. -4x + 8y 16 41 SE7-6-5 -4 -3 -2 -1 2 3 4 6 기 -1 -3 -4 -6

A:

Q: -1 0. B = 1 3 4 A Let AB = ?

A:

Q: 6. arctan 1 3

A:

Q: -7 3. Find (3-4) 5) 1 1

A:

Q: 7.2-2

A: Given:   x y 644 623 493 472 532 492 462 661 565 540   502   549   518

Q: 1. 12

A: We can use the concept of Pythagoras theorem to solve the given problem.

Q: b. 14, 20

A:

Q: to.025.15 i

A: Given that  t0.025,15 = a