Select the statement that is false. ZCR O Zt CN Z CR* R¹ (Z

Q: et a =i- 2j + k and b= 2i+j +k. Show that la + b| s lal + b|

A:

Q: 50 50 51 7. + 40 39 40 • () - €) (") - () () - () () 7 8. 4 10 9. 2 10 8 8. 8 8. 10. + 2 3 6.

A: We can solve the given problem using concept of fractions.

Q: EXvyP(x, y) is true when there is an x for which P(x, y) is true for every y. A True B False

A:

Q: kx| dx = Ix1 + c O False O None of these True ООО

A: According to question given:-∫|x| dx=|x|x+CWe have to check whether it is true or false

Q: 13. Find the intersection of [x, y, z)=[-8,-3,-5]+[1,2,-1] and [x. v.]=[1.9,4]+s[2,1,7].

A: We can find the intersection of the curve .

Q: Suppose A if A and A" have different left null spaces then O a a= 0 O b. a= 15 Oc a= 6 1da=3

A:

Q: Evaluate the deteminat of each matris. A= 5-1 [213 3. A-I0 2 20-2 4 A 6 0

A:

Q: Linerije he lien apantion: 1. yeation; nen- x* xy+ 3y sie the ryin *T/ テ

A: Solution: We have to linearize the equation z=x2+xy+3y2 within the region 2≤x≤3,  11≤y≤12 Let us…

Q: The number ofunits in Z29[x] is 28 22 30 None

A: See the detailed solution below.

Q: 2) Let R' real numbers, define = x,Y1 + 3x2y; + 5x3y3 for x = (x, X2, X3) and y (y,Yz, Y3). Is…

A: Given x=x1,x2,x3, y=y1,y2,y3 in ℝ3. Define x,y=x1y1+3x2y2+5x3y3

Q: Are u sure its not 1

A: It is given that a=0 and b=1.

Q: Find all the values of z: (hìnt: use tvalues of the discrirninant) 28 + 423 +8 = 0 O -1.366-j0.366ó…

A: We have,z6+4z3+8=0Let u=z3, u2=z6∴u2+4u+8=0u=-4±44-4(1)(8)2(1)u=-4±-162u=-2+2j, -2-2j

Q: 1 - Be X and Y variables independent with o ²X variations and o2²Y, respectively. Being Z=X+ Yand…

A:

Q: Show that for all v in Rn, II v II s <= II vII m·

A: vs represents the "sum norm" or "L1-norm" and vm represents the "max norm" or "L infinity-norm".To…

Q: Prove that if 0 < a < y, then ỹ – VI < Vy– a.

A:

Q: LET Z Z₂ = FIND ZI 리 Z₂ 8+31 9-21 AND Z₂ Z₂

A:

Q: Prove.

A:

Q: Let a, b, n E Z. Prove: If a|n and b|n with gcd(a, b) = 1, then ab|n. (I

A:

Q: Let A = 12 3 14 0 1 02 -3 0 1000 What are the rank and nullity of A?

A:

Q: If A has a row or column consisting entirely of zeros, then Select one: a. A is nonsingular b. A is…

A: Given: A is row or column consisting entirely of zeros .

Q: Find the value of a for which U = a 1 10 is in the set 0 -1 3 0 H = span 5 3 -1 2 -2 -2 a =

A: The value of a=-7 .Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Let What is the rank of AT A? Answer: A 3 0 0 0 0 0 5 11 −4 0 3 6 5 2 0 0 3 6 2 0 0 0 8 0 0 00 0 0

A:

Q: Suppose A = if A and AT have different left null spaces, then 3. O a. a=0 O b. a=1.5 O c. a= 6 O d.…

A: We have to solve given problem:

Q: Find ||v||. v =i - j + k

A: In the dot product of two vectors, we have to multiply the corresponding components of vectors. The…

Q: Let z дz ?x дz ду = = Gexy³. Then:

A:

Q: Let Y; and Yk be two principal components with associated 1; and Ak . Assume that Ak > lj. Which of…

A:

Q: Which of the following is true? * If A {x: x < 5,xE N} and = B = {y: y? + y - 2 = 0,y € R}

A: Solution:

Q: Let y = Ա 4 + DIS 5 Ա and u = x³ = x³ - 2x.

A:

Q: Let z = 6ex²y³. Then: дz дх дz ду

A: We can solve this as follows:

Q: Is 1z = 1 for all z ∈ C?

A:

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

A: See solution below

Q: Label each of the following statements as either true or false. Ix+ yl2 &lt; lxl2 + lyl2  for all…

A: x+y2&lt;x2+y2    for all  x and y in Z

Q: Find e² in the form of u + jv and le²| for z = 2 + 3nj

A:

Q: Find the constant C such that * x3 – 3x + 8 < C, where x e [0, 3] | 18 O 23 14 17 O 26

A: We have to find c

Q: If a z 0, then |a If a < 0, then |a||

A: if a&gt;=0, |a| = ?  if a&lt;0, |a| = ?

Q: Evaluate JIS ₂x+ydV where B is the box determined by ze B 0≤x≤ 1,0 ≤ y ≤ 3, and 0 ≤ z ≤ 5. The value…

A: Here we have to evaluate the volume integral over the given volume region.

Q: Determine if the following statement is true or false. Motivate your answer. If Re(z) > Re(w) and…

A: We have to check whether the statements, "If Rez&gt;Rew and Imz&gt;Imw then z&gt;w" Is true or…