ulol mo ulo mo EDIT Active Now Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) A-[1 3 ]. B = (a) АВ (b) BA

Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE In any single cell.) 3. 1 1 -4 2 A…

A: The given matrices are,A=3132-1225-2, B=1-42-1-40-231

Q: If gcd(m, 28) = 4 and gcd(3,7) = 1 then m = %3D %3D

A: Given: gcdm,28=4  First, we will calculate G.C.D of all options with 28. a gcd4,28=4 ∵ Greatest…

Q: a – b -| < 1, if|a| < 1, and |b| < 1. 1- āb - Show that|-

A: From the given information. For , then show that .

Q: Find, if possible, A + B, A -В, 2А, 2A — В, and B + A. (If not possible, enter IMPOSSIBLE in any…

A: Since you have asked a question with multiple sub parts , we will solve the first three sub parts…

Q: True or False? If d = gcd(a,b) , then every common divisor c of a and b divides d.

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Q: Let G = &lt;a, b | a2 = b2 = (ab)2&gt;a. Express b2abab3 in the form biaj.b. Express b3abab3a in the…

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Q: 1. The binary operation * defined on Z by x * y = 2xy. Show that * is commutative and associative.

A: Given data: The binary operation * defined on ℤ b x*y=2xy

Q: Assuming that gcd(a , b) = 1, prove the following: (b) gcd(2a +b, a +2b) = 1 or 3.

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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: ompute the greatest common divisor in the ring of Gaussian integers. ( - 9 i + 8, i + 18 ) = a + b i

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Q: Show that gcd(a, bc) = 1 if and only if gcd(a, b) = 1 and gcd(a, c) = 1.

A: Consider, gcd(a, b) =1 and gcd(a, c) = 1. If gcd(a, b) =1 then there exist integers m and n such…

Q: Simplify p'q'(p' + q)(p + q') to the simplest form by using the laws of Boolean algebra.

A: solution.

Q: .

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Q: PLEASE ADD ME THE LATEX SCRIPTS IT WILL HELP ME AND I WILL ALSO RATE YOUR ANSWER VERY HIGH. THANK…

A: (a)  Here,

Q: Find, If possible, AB and BA. (If not possible, enter IMPOSSIBLE In any single cell.) 123 (a) AB (b)…

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Q: A−1 in the block form.

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Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) 2 1 To -1 0 A…

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Q: Find, if possible, A + B, A - B, 2A, 2A – B, and B +A. (If not possible, enter IMPOSSIBLE in any…

A: topic - matrices

Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) 1. 1 2 2-1 9.…

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Q: Prove that (A-1)-1 = A. %3|

A: Let A be inverse of matrix A. Then, by definition We know that

Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell. - 1 -1 9. 1 1 2…

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Q: Prove Theorem 2.2(iii) and (iv): (iii) (B+ C)A = BA + CA, (iv) k(AB) = (kA)B = A(kB).

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Q: 5 Let A = |3 7 8 -2 1 Find the (2, 1)-entry of the adjugate of A. (2,1)-entry =

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Q: Find gcd(2,3+5i) in Z[i]

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Q: Determine whether the following statements below is true or false. 1. (1/2)2<1/2, and 123 is…

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Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) 22 1-4-4 A =…

A: Given A = 225-21-1332B = 1-4-4-10213-2 then AB = 225-21-13321-4-4-10213-2 =…

Q: Show that lcm (a,b)=ab if and only if gcd ( a,b)=1.   Thank you! <3

A: Solution

Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) 2 1 0-1 0 A =…

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Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) 2 1 1 +-)…

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Q: Prove that if d is a common divisor of a and b, then d = gcd(a, b) if and only if gcd(a/d, b/d) = 1.

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Q: Let m and n be two relatively prime positive naturals, and consider what naturals can be expressed…

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Q: Compute the pseudo inverse of A

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Q: Let 4 1 - 3 -2 -9 and 1 A =| - 3 В C =| 0 3 Prove that 5 - 2 -1 1 1 – 4 | (BA)" – A" B" + AC = AC,…

A: (BA)T - ATBT + AC = AC In LHS, We know that, By the properties of Transpose, (BA)T = ATBT .…

Q: Find, if possible, A + B, А — в, 2А, 2A — в, and B + A. (If not possible, enter IMPOSSIBLE in any…

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Q: Find, if possible, A + B, A — В, 2А, 2A— В, and B + A. (If not possible, enter IMPOSSIBLE in any…

A: Here we use the addition, subtraction, multiplication and division properties of matrix.

Q: 31 Let A =-1 4 and B = 3] 2 [3 -1 . Compute the (3, 1) entry of AB.

A: Given: A=23−1403  and  B=3−13124[AB](3,2)=?[AB](2,3)=?

Q: [9 4. Let A = . Show that A can be diagonalised. Then, compute A. 7

A: Given matrix A=9-157. The main objective is to show that A can be diagonalised. And then compute A5.…

Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) 1 6 1 2 3 -1 1…

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Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) 3 1 0 -1 0 A =…

A: AB is  impossible. BA is possible.

Q: Which of the following is correct? ai II-1 b; O IIE, a;b; = (a1+...+an)(bı+...+bn) O II, a;b; =…

A: As ∑is used to denote the sum, similarly, ∏is used to denote the product. Assume, a be a variable…

Q: If B = then B is invertible. -3 3 Select one: O True O False

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Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single 3. 1. -4 2 A%3D 2 -1…

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Q: Let :[6.-5] and = [-1,5). Find the vecror %3D 7 =62-55 and its additive in verse

A: Given that: x→=[6,-5] and y→=[-1,-5]

Q: Determine whether the statement, '(A + B)-1 = A-1 + B-1, assuming A, B, and A + B are invertible',…

A: Given:                    (A+B)-1=A-1+B-1      To determine:                 If A, B and (A+B) are…

Q: Find all values of k so that k+1 4 12 9 k+1 is invertible. To enter your answer, first select…

A: NOTE: Refresh your page if you can't see any equations. .

Q: -6 Let A- Ч -2 Constauct 2 X2 mat mix B such that AB is the matmik. Use zero two different nonzer0…

A: Given matrix,

Q: Use DeMoivre's Theorem to find the following. Write your answer in standard form. (-4 - 41) 3 O- 128…

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Q: 2 -1 4 0 -3 7. -2 find transpose of 4, than verify is A orthonormal. 3. Let A= -2 1 4 -9 in

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Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) 3 2 A = 5 3 -2…

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Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) 0 -1 0 4 0 1 8…

A: Here given  A=31-3416,  B=6-104018-16 Thus the order of A is 3×2 and order B is 3×3 Since the number…