Let 1 2 -k 2 k- 4 A = 4 k -2 B = 4 -1 -2 k – 8 i Express AB in the simplest form

Q: 2 and B= 1 0. then Show that if A = 6. -1 2 (A + B)(A + B) # A² + 2AB + B?

A: Given that A=-1201 and B=10-12 We have to show that A+BA+B≠A2+2AB+B2

Q: Find a11 of A-1 Find a12 of A-1

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Q: 2) In the Gauss plane, the set {2€ C:lz-1 +11 >√2, Rez-Im3 <0} a) is a half-plane b) contains one…

A: Let We will  verify  each option one by7 one.For option(d):  observe that   and Thus, and option(d)…

Q: verify that A(B + C) = AB + AC

A: Now,

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: b2 over b-a + a2 over a-b

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Q: Find AB if A = [4 -3 3 -1 0 -2] and B = 4 Use the tools in the

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Q: 2. Find AB, where -1 4043-690 B = 1 -2 5 = [ A = 2 2 -1 -5 1 -2 1 2

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Q: A-1 does not exist.

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Q: Find a and b such that 2 1 20 = a 2 +b -4 -22 -1 a = b =

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Q: 3.9b + a3 + 27 - 3a2 + 5a3 - 2a2 + 2.1b + 7

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Q: 72 Σ2 = 2n+1. i=0 - 1

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Q: Find a and b such that a = 9 = 0 - a -1 +6 10 6

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Q: -1 31 -1 1,D = 3] 1.0 -6 -1 3 Let A = 3 B = C = 3 1 -2 1

A: Topic:- subtraction of matrix

Q: Suppose an = 5an-1+4an-2 – 3an-3 and a4 = 22, аs — 127, and ag = 717. Find a1, a2, and аз. ai = a2 =…

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Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: Compute: -57 [3] + 5] 4 5 0

A: To add the following matrices.

Q: 5 Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0)…

A: To find the standard equation of the ellipse

Q: Prove that if 8x-5=-2x-15 then -x=1

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Q: S√4 4+² +3 dt

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Q: Find a21 of A-1 Find a22 of A-1

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Q: Let A = -4 4 2 -3 -2 -4 2A-B= 4 -1 -1 Determine 2A - B. and B = -1 3 -3 0 3 -3 -4 -3 4

A: Here, we have given two matrix now we have to find out the required matrix  (2A-B) So, for this…

Q: Let ā (3, 5, - 4) and 6 = (1, 4, 3). (à − b ) × ( ã + b) =

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Q: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: Multiply. (4x – 1)(3.r – 2) - O 11x – 12 O 12.x – 11 O 12.x2 + 11r – 2 O 12.x? – 11x +2 O 111? – 12x…

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Q: Express (5 – 3i)3 in the form a + ib.

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Q: 2(4-3=10a+3

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Q: -1 2 5 2 7 -5 Let B = and C = 2 5 3 2 3 5 Find -4B+ 5C.

A: We have, B = -125253 C = 27-5235 To evaluate: The value of -4B+5C

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.