= [; 4 3 Then, A is not SDD. Let A -1 1 Select one: True False

Q: Show that if a|b then -a|b.

A:

Q: If z| =5 and w =- z+5 then Re(w) is equal to

A: Introduction :

Q: GIVEN: 1 0 3 1 A = 4 2 4 1 1 3 1 0 2 -2 FIND: A?

A:

Q: Let A be 4x4 and det(A)=3. Then det(24)=. and det (A" A)=.

A: Given A be a 4×4 matrix and detA=3

Q: If A, BC S such that P(A)=0.7, P(B)= 0.5 and P(A NB)=0.3, then P(A|B) =

A: Here use venn diagram and Bayes theorem

Q: -3 Let A = and v = -12 -4 -6 -3 Av = %3D -12 -4 -6, Ex: 5

A:

Q: Let z(x) ~N(0,1) Prop (x > -0.56) = Prop (x ≤ -2.17) = Prop (-1.56 ≤ x ≤ 0.72) =

A:

Q: Show that if all A's are B's, and no B's are C's, then no A's are C's.

A:

Q: I, \B|, A + B, and |A + B|. Then verify -1 1 8. 1 0 1 A = 0 1 1 B = -1 1 8 1 1 -1 0 1 8

A: Given: A=-11801111-1, B=101-118018

Q: Suppose c is a constant. If ) elk-1)c – 3, then k=1

A:

Q: 3 Let A = -6 -1 -2 and v = -6- -2 3 Av = -6 2 -9 Ex: 5 s v in null(A)? Select an option

A:

Q: Let ā = and b . Find 3ā + b. -

A: We will simply use vector addition rules to find the answer

Q: Let Z - N(0, 1). Find P(Z < 2). Question Help: D Post to forum

A: Given that, Z~N(0,1)

Q: If g(x) = x, then g1 (x) = x. %3D O True O False

A: For the inverse function just replace the g(x) by x and replace x by g-1(x) in the given function.

Q: If z, = 1+ jb , Z2 = re¯)² , z1/z2 = -10, determine all possible values of b and r.

A: Consider the provided question,

Q: If x, = 1, x1 = 2 ,x2 = 3 ,x3 = 4 ,x4 = 5, then L2(3) + L2(4) = %3D %3D %3D %3D Select one: а. 1 b.…

A:

Q: If z1 = 1+ jb , Z2 = re¬1² , z/z2 = -10 , determine all possible values of b and r %3D

A:

Q: For what a is ||ai - 3j + k||=16

A: Topic - vectors

Q: A and B cannot c are independent

A: For independent events : P(A n B) = P(A) * P(B)  And P(A u B) = P(A) + P(B) - P(A n B)  For mutually…

Q: Show that: If |z| = 2, then: z* – z2 – 4| Re < 6 z + 6

A: A complex number z=x+iy are graphically represented as (x,y) on coordinate plane. The polar…

Q: If 1 A = -9 6 1 6. 2 -T and Q(#) = ' Až, then Q(z1, 12, T3) = Enter z1 as x1, 12 as x2, and 13 as…

A:

Q: If a is transcedental over Q then a^2 is also transcedental over Q

A:

Q: Let A = a22 Show that if d = a¡|a» – A2jɑ12 # 0, then 1 A- = a22 -a12

A:

Q: 2. Determine whether the set S = spans M22-

A: Let A=1ab0, B=a01c, C=0ca1 and D=b1ac. Substitute a =6, b =5 and c =1 in above matrices. A=1650,…

Q: Show that if AB={0}, then P(A)≤P(B).

A: Given that

Q: If A is m x n and B is n x m and AB I then the rank of A is

A:

Q: Prove: If a &lt; 0 and b &gt; 0, then | a  + b | &lt; | a | + | b |

A:

Q: Prove (A = B) = (A v C) = (B V C)

A:

Q: If c &gt;0, |u| &lt;c is equivalent to_______ &lt;u &lt;_______.

A:

Q: Let z, =1-1. z, =-2+4/, and z, =3-21.Find Im().

A: The given complex numbers are-  z1 = 1-iz2 = -2+4iz3 = 3-2iWe have to find ⇒ Imz1z2z3

Q: If two rows of A are interchanged to produce B, then det(B) = –det(A). \\ Big True fals e

A: We use properties of determinant

Q: Let A. B C+ Then b.1 AnB c A Ond An B CR

A: Note:- in given problem some points are missing you don't define any relation between R and A, B.…

Q: Which of the following is equal to C(200, 50) C(150, 50) О С(200,100) O C(200, 150) O C(150,100)

A: The formula for C(n,r) is evaluated as C(n,r) =n!n-r!·r! C200,50 = 200!200-50!·50! = 200!150!·50!

Q: If C = {x:x² + 11x + 30 = 0, x ∈ N}, then C is a/an ?

A:

Q: If A and B are independent, then

A:

Q: If+b+=++, then show that for 1 a" +b" +c"

A:

Q: Suppose X~ N(u=120, o = 3), determine the value of x such that P(X>x) = 0.05.

A: Given that X follows N(mean = 120, SD = 3), then Z = (X - mean)/SD follows N(0,1)

Q: Show that a) A − ∅ = A. b) ∅ − A = ∅.

A:

Q: Prove: If a &gt; b, then a &gt; 1/2 ( a + b ) &gt; b.

A:

Q: Show that r(r+3) Hence, Show that 1 +. 2.5 1 1-4 3-6 n(n+3) n+3 n+2 n+1

A: Using series

Q: Show that: If |z| = 1, then: |z3 + 4z + 5 < 5 z + 5z + 6

A: Given: z=1 Then show that z3+4z+5z2+5z+6≤5

Q: and y If a = , then x = ||

A:

Q: Let S= {1, 2, 3, Question 5. 4} and G = S,. Write all of the elements of GT and G(T) in each case.…

A: Given, S={1, 2, 3, 4} and G=S4 We have to write all the elements of GT and G(T) in each case. (a) T…

Q: a. If A and B are independent, and A and B are independent, show that A and B are also independent.

A:

Q: Given P(A) = 0.28, P(B) = 0.20 and P(B|A)=0.28 are A and B independent dependent?

A: Given Data: The probability of event A is: P(A)=0.28 The probability of event B is: P(B)=0.20 The…

Q: If x, = 1 , x1 = 2 ,x2 = 3 ,X3 = 4 ,x4 = 5, then L2(3) + L2(4) = %3D %3D %3D %3D Select one: а. 1 b.…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.