For Exercises 2 through 6, prove that T is a linear transformation, and find bases for both N(T) and R(T). Then compute the nullity and rank of T, and verify the dimension theorem. Finally, use the appropriate theorems in this section to determine whether T is one-to-one or onto. 2. T: R³ R² defined by T(a1, a2, a3) = (a1 - a2, 2a3). 3. T: R² R³ defined by T(a₁, a2) (a1 +a2, 0,2a1 - a₂). =

Q: According to your conclusion above what type of error can occur?

A: Type I error (α): The probability of rejecting the null hypothesis when it is actually true. Type II…

Q: 2. (Section 17.6) Evaluate Jy²ds where S is the part of z = 3 + y inside a² +y² = 9. S

A: We have to find ∫S∫y2ds where S is the part of z = 3 + y inside x2 + y2 = 9

Q: Shade (A U B) ∩ (C-A)'

A:

Q: let à = (3,4,5) and To (5,2, 6) a Find (2-6) x (a+b)

A: We need to find out the cross product.

Q: a) If you take a sample of size 60, can we say that the sampling distribution of p is approximately…

A: a)  p = 0.05 n = 60 N = 22000 np = 60(0.05)      = 3.0 n(1 - p) = 60(1 - 0.05)              = 57 10n…

Q: how to write an anlytical thesis

A: how to write an anlytical thesis

Q: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error 0.953…

A: Here the total number of observations = n = 20 Response variable : y : Teacher's salary Predictor…

Q: Discuss the difference between a spurious and intervening relationship.

A: The spurious relationships: When ever two factors are casually similar or related to one another but…

Q: 8)능(x+ 27)-극(x-3) -x*5 -3)%3Dx+5 81 A), B

A: Solving by separation of x we have

Q: ind 5(s+2)(5+2)

A: Using method of Partial Fraction.

Q: State Green’s Theorem

A:

Q: What is Rolles Theorem and how do you find "c"?

A: What is Rolle’s Theorem and how do you find c

Q: 8. Refer to Example 50.9 for Exercise 8. Exercise 8: What is the order of G(Q(VZ, iv3)/Q)?

A:

Q: what about part 5)?

A: Please find the answer innext step

Q: (g) A OR B = 6 (1) P(A AND B) = 0.6 (1) P(A OR B) = 0.6 A'= 5

A: We have given that Sample space (S) = {3,6,9,12,15,18,21,24,27,30} =>  number of elements in S…

Q: Point A(7, 17); Point B(19, 2) 20 19 18 17 16 15 14 13 12 11 10 9. 8. 6. 4 1 01234 5 67 8910 11 12…

A:

Q: 24) y sec X

A: Definition used -             Amplitude - The secant function does not have an amplitude.…