(Section 2.1) 1. a. Given A [21] 4 i. A³ ii. A-³ iii. A² — 2A+ I compute the following,

Q: 10) Determine if the following statements is true or false. Make sure to label your answer and show…

A:

Q: 1. If p = 5i – 4j + 3k, q = -2i + 4k and r = 5j - 6k. determine p. (q x r).

A: Given vectors ,p→=5i∧-4j∧+k∧q→=-2i∧+4k∧=-2i∧+0j∧+4k∧r→=5j∧-6k∧=0i∧+5j∧-6k∧

Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: 1+3i +2-5i = (1+i)10 =

A:

Q: 2. If A = 2i + 2j-k and B 3i-6j + 2k, find (i) AB and (ii) AX B.

A:

Q: (d) (e)

A:

Q: 4. Simplify 4y 2V5. 2 22

A:

Q: 2.2.12 Prove that if x and y positive real numbers, then Vx+y # Vx+ Vy. Argue by contradiction. are

A: Let x and y are positive real numbers. Also let x+y=x+y Now squaring on both side,we get…

Q: 0 5. 21 ) Let A=[¹²] and B= [¹ Find AB. 13

A: Given query is to find Matrix product.

Q: Let 1 3 A = -2 -1 and В - 2 -2. a. Find AT and show that (A")' = A. b. Show that (A+B)" = AT + B".…

A:

Q: 2) If a + b + c = 0, show that a × b = b × c = cxā

A: Solve the following