-2 -11 TO 1 The coordinates [Aleof A= with respect to the basis B= 0 -1 ] 2 of M2x2 O a. -1 -2 O b. 1 1/2 1 -2 -1 3. e. none of these

Q: [1 2 -3] Find det A A= 4 5 -9 0 1 0]

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Q: complex numbers Z1= 4.5-j5.1 , Z2= 3.2- 5.2, Z3= 2.25-j5.6 , Z4= 7.5-j9.2 , then alculate…

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Q: Compute ||w| using w = 6 2 -4 ||w|| = (Type an exact answer, using radicals as needed.)

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Q: . Let 21 2i and z2 = 1+v3i. (a) Express zi and z2 in mod-arg form. (b) Plot in the complex plane the…

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Q: Let 71 = 3+7i and 72 = 3– 7i and find z172.

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Q: 22 and 21 21 in the form x + iy. 10 + 3i and z2 = 15 – 5i. Find 22 Let z1 - 21 22 22 21 ||

A: Given complex number is

Q: The decimal representation of a positive integer a is given by a = an-1ªn-2 *** α₁α where a =…

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Q: You are given that B = {1 – x², 1+ x, 2x + 3x²} is a basis for P2 and - 2 [p(x)]B= |3. If p(x) = a +…

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Q: Determine all minors and cofactors of [9 3 A = 5 9 9. M = 9. C = 9.

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Q: 1 0 5 1 1 0 -1 3 A = -1 1 B =| 4 4 -1 -1 -2 3 2 3 1 3

A: To find The trace of the given matrix.

Q: 0,1,0) R3 Ba

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Q: If Z1 = 4 + 5i and Z 2 = -1 + I,  express in the form a + bi  (i) Z1 + Z2   (ii) Z1 – Z2

A: Formula used  sum of two complex number is given by  (a1+b1i)+(a2+b2i)=(a1+a2)+i(b1+b2)

Q: ?:R3 →R2,with? ?,?,? =(?+2?+3?,4?+?−2?) Find a basis for the image and state its dimension.

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Q: (a) Find the left cosets of {e, (1, 2)} in S3. (b) Find the right cosets of {e, (1, 2)} in S3.

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Q: ow that postage 6 cel using or imps. (Consider the basis step for 6 and 7 cents, and the generic…

A: Given that postage of 6 cents or more can be achieved by using only 2-cent and 7-cent stamps.

Q: Verify that (AB) = BTAT. 6 1-1 Find (AB)T. 11 0 -20 X Find BTAT. 11 A = 0 1 30 0 -20 6 9 43 6 9 43 →…

A: A=61-1018306 and B=10-161-6018. To Do: Verify ABT=BTAT.

Q: Compute w using w= 7 - 3 ||w|| = (Type an exact answer, using radicals a

A: We have to find .

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.