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

Q: b let fl) = an+b and g) = Cn+d where a,b;c and d Constant. Detemine for which constant a,b;c and d…

A: The objective is to find the constants a, b, c and d such that fog=gof where fx=ax+b and gx=cx+d

Q: U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die that are…

A: Given If U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die…

Q: I. Find A + B, where a) A = 1 0 41 b) A = 1-1 2 2 1 L 0-2-3 J -1 0561 L -4 -3 5-2 J [-13 3 5 1 2 2…

A:

Q: +5v

A:

Q: For every positive 2-digit number, x, with tens digit / and units digit u, let y be the 2-digit…

A:

Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find d. A-D e. A x B f. BxB g.…

A:

Q: The number of units in z3,[x] is 30

A: We know that, any ring given as ℤpx  will have  (p - 1) units

Q: Ex. Show that [b, c) ~ [a, o), where a, b, c ER and b< c. [H7-9]

A:

Q: 2. Prove: A – B = ANB

A:

Q: Suppose ū = 2j + k, ū = 2i – 4j + 2k and w = -5i – j+ k. %3D Compute the following values:

A:

Q: Let u = 2i+j-k and w=-3i+4j+k. Find uxw Select one: O 5i-3j- 11k O 5i+ 13j+ 11k O 5i+j+ 11k O None…

A:

Q: If u * v = 2i - 3j + k, what is v * u?

A: As we know a×b = - b×a

Q: Show that &lt;a, b | a5 = b2 = e, ba = a2b&gt; is isomorphic to Z2.

A: To show that the group &lt;a, b | a^5 = b^2 = e, ba = a^2b&gt; is isomorphic to Z2, we need to…

Q: Indicate that  R and R2 may be covered by countably many open balls.

A: To show that ℝ and ℝ2 covered by countably many open balls.

Q: a +b - la – b| 2 a+b+la-이 1. Prove: where max and min denote respectively the greater and the lesser…

A:

Q: Show that is isomorphic to Z2.

A:

Q: Make z tu subject in the form of

A: Given x2a2-y2b2=1 Since we know that z=x+iy and z¯=x-iy then x=z+z¯2 and y=z-z¯2i

Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

A:

Q: Hiw.sLetAzi+j-2K,b=-i-k and c=zi+uj-zk,finds t Ax(B+C)- 3 CA-B)xC s-(AXB)ec 2- A (2B-c) 4-2Ax 3B 6-…

A:

Q: Expand la In 3 Inx Iny? Inz 2n 3+ 2mx+ 2lmy hz a. 2h3+ 2hx+ 2ny- 2hz In 3+ Inx+ 2hy- nz

A:

Q: j+ky-o Find k Iet yco)=lo0 andyc2)=4 3D0

A: Given that y'+ky=0 y(0)=100 and y(2)=4

Q: = (-10,6, –4) be in R and a be in R. Then , 36 , Let x ат — ).

A:

Q: Find the sum of the coordinates (Y+X) of point "D" on a line linking N11 and N29, whose coordinates…

A: To find the sum of the coordinates Y+X of a point D. Given that    Y(m) X(m) N11 2004.32…

Q: 9. Which of the following is one of the possible answers when you integrate the expression 2csc² x?…

A:

Q: What is the domain of h? ) (-2-1, 1, 5 and 6) 25x56 D (5-26, and 7)

A:

Q: if A = | メ %3D Hint A = B %3D -3 B = %3D 1) find x and y 2) The muti Plicative inverse of matrix B

A: Multiplicative Inverse  The multiplicative inverse of a matrix  is equal to the identity matrix when…

Q: prove. that s U. W V- W 1. U.r V.r

A: Using the vector triple product, it can be written that: a→×b→×c→=a→·c→b→-b→·c→a→. Using the scalar…

Q: 33. What is the real part of In (2 + j2)? a. 0.785 b. -0.785 c. 1.040 d. -1.040

A: 2+j2=2√2(1/√2 + j/√2) = 2√2(cos(π/4)+jsin(π/4))

Q: ..***a***** . Let x (m, 1,0,-2)", m > 0 and ||x||2 = V30, then Select one: a. 6 b. 7 с. 5 d. 4

A:

Q: The number of the element(s) of order 17 in Z17 O Z17 288 16 17 None of them 289

A: