Section 2.2 as) Given: mく3 > m<4 a Prove FH is not I to EG H.

Q: Find AB such that [3 1 21 T-1 A = 2 1 2 and B =|4 [1 2 2] -2 -5]

A: The solution is given as

Q: If A × B ={(p, q),(p, r), (m, q), (m, r)},     find A and B.

A: A will be the set of the first ordinates  And B is the set of the second ordinates

Q: 3. It has to: i = (2, –3,4); i = (-5,1,0); w = (4,2,1), perform the following operations: u+v; u-w,…

A:

Q: Q: Prove that Lim 1-1

A:

Q: If ||V|| = 5, ||W|| = 6 and -a < V ·W < a, then the value of a is equal to: О а. 30 O b. 10 О с. -30…

A:

Q: (2 3. Let A = G) and B = (; ). Compute and compare: %3D a. Det(A + B), det(A) + det(B). b. det(3A),3…

A: We have A=2-135 and B=1211 Part(a) Now if we have a matrix M=abcd, then, detM=abcd=ad-bc Therefore,…

Q: 1. Solve the following problems below: let U = {a, b, c, d, e, f, g, h, k} A = {a, b, c, g} B = {d,…

A: We have given that  let U= {a, b, c, d, e, f, g, h, k} A = {a, b, c, g} B = {d, e, f, g} C = {a, c,…

Q: Yes;for each input x there is one output y.

A: Yes;for each input x there is one output y.

Q: Let A = PDP-1 and P and D as shown below. Compute A4. 1 0 1 -2 PACHH D= 1 - 1 3 P= A² = (Simplify…

A:

Q: Given the following information, determine the value of x:  u = [2x, 1], v = [x, 2x] and ∣u+v∣ = 6

A:

Q: Given that A and B are independent with P(A ∪ B) = 0.8 and P(B c ) = 0.3, find P(A).

A:

Q: Given that v = ⟨0, –2⟩ and w = ⟨5, –8⟩, what is w – v?

A:

Q: Exercise 2. Prove that if A = B and C z D, then A × C = B x D.

A: Given data: A≈B......(1)C≈D......(2) The objective is to prove A×C=B×D

Q: part d, you cannot use calculus

A:

Q: The number of units in z,,[x] is None 30 28 22

A: See solution below

Q: Prove the following statement: (VxR) (x 0 ⇒ (y R) (xy = 1))

A:

Q: What is REF of C? [1 4 L7 C = I -31 -8 0

A:

Q: A = 2 1 2 0 1 -H B = W = w-B Find the following: a- A², AB, det(A) b- If AW=B, find (W) using…

A:

Q: и%3D 19, —8] v = [4, –5] 4u + v = | Ex: 5 :

A:

Q: if X = y = Z = 2-1 3 1 3 3 2 -2x 2 X Z 14 find x, y, and z

A:

Q: [:] 0 1 If A = then A2021 = A. 1 0 Select one: True O False

A: Please refer the attached image for complete solution.

Q: Suppose a, = lan 1- 6an 2 + lan 3 and a4 = 47, as = 3, and a6 = -273. Find a1, a2, and az. %3D %3D =…

A:

Q: Compute |A| for the following:

A: Given: A=2100121001210012

Q: Use the Cayley - Hamilton theorem to calculate 3 -2 -1 A-1 and A4 if A = 3 4 -2

A:

Q: A group of 90 tourists has a trip in Boracay. The island has two kinds of vehicle, the ordinary…

A:

Q: Now, let dR = aR+ bJ dt dJ cR + dJ %3D dt How would you describe the relationship between Romeo and…

A:

Q: 国~ Let aj = a2 -24 and b: For what value(s) of h is b a linear combination of aj and a2?

A: Explained below

Q: For a, b, c, d e R, show the following. (a) If a >b and c> d, then a +c>b+d.

A:

Q: Answer the following True or False. Letting u 4 1' produces: .2 2.x d.x. z2 1 du. 4. True False

A:

Q: If r = xî + yì + zk, andr = ||r||, what is V In r?

A: Given r=xi+yj+zkand r=r

Q: Show that: If Iz| = 1, then: %3D z3 + 4z? – 4| Im < 3 z + 4

A: Since |z|=1 Let z=r(cos∅+isin∅) ⇒|r(cos∅+isin∅)|=1 ⇒r=1 Now