(a) Let D: P3 → P3 be the differentiation operator. Find the kernel and range of D. (b) Let M22 be the vector space of 2 × 2 real matrices. Let L be the linear operator on M22 given by L(A) = A – AT. Find a basis for ker(L).

Q: (-14) + (–7)

A:

Q: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: 5/14+1/6

A: 514+16=15+742

Q: 619 d. 4 10

A:

Q: 4(5+6)=

A: Given: 4(5+6)=

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: d 6

A: 5. In the given right triangle , the hypotenuse is 41 and the perpendicular length is 40. Apply the…

Q: 18(9+7)+3

A: 18(9+7)+3

Q: Identify the postulate for each drawing

A: Identify the postulates for each drawing

Q: The region bounded by f(x) 2x² + 12x + 14, x = = 0 is rotated about the y-axis. Find the volume of…

A:

Q: 6. 4 Z+ 1 z+ 7 2.

A: Given,  4/(z + 1)  =  2/(z + 7)  To find value of z.

Q: 3 3/4 + 2 7/28

A:

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.