(7) Preform indicated operation on the given bases. C. 101two + 11iwo

Q: The cube root of 64a+/27b³ (There is a divide sign also.) 3164a+/27b3 (All is under the radial and…

A: We need to simplify 64a427b33. Now,                 64a427b33=64a4327b33=4aa327b33=4aa33b

Q: 1. Evaluate the expression :4 and write the result in the form a+ bi.

A:

Q: Perform the computations in the given question and express the results in standard form a+ bi.   i(2…

A: Given i(2 + i)2

Q: 2. Do this on paper and submit 8. Write a complete proof for the following. (9 steps) Prove: mAD=mAC…

A:

Q: 5. In the figure below, AD and AE trisect ZBAC. Prove that AC- AE - BD = AB- AD-EC. 2. DE

A: Angle bisector theorem:  In a triangle, the angle bisector divides the opposite side in the ratio of…

Q: Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form. (5 + 1)6 O 64 -…

A:

Q: A. Find the product z,z,. Leave the answer in a + bi.

A:

Q: 11. What theorem is used to prove that BD 1 AC? C В. D A

A:

Q: find the general Solubun of Eguahion by usng (undertmind coefficients melthed)

A:

Q: Perform the computations in the given question and express the results in standard form a+ bi.   i15

A: The given expression is i15.

Q: Question 3. Assume dim V = n and a, ß are two ordered bases of V. Are the following statements true…

A: Are the following statement true Or false?

Q: JO find onthononmal bases:(Using 2 3 %3D 1 O'5 V2 = 2 0:2 1

A:

Q: -find the rank of any inner product of tensors A and B?s 25

A:

Q: Find the 2 square roots of 3 - 4j using De Moivre's Therem.

A: Let z=3-4j---(1) By De Moivre's theorem, z=r cos θ + j sin θ ⇒z=rcos θ + j sin θ12 ⇒z=rcos θ2+j sin…

Q: If Z = 2 + 5i, write down the conjugate of Z. Multiply Z by its conjugate and write answer in the…

A:

Q: 3.The area of a rectangular field is (a2 - 8a + 7)km2- if a - 2 what is the dimension of the field ?

A: topic - quadratic equations

Q: Express z =1/(2+5i) in the form a+ib.

A: Given:

Q: z= -2x2 - 4xy - 2y2; Verilen ifadenin karakteristik kökleri aşağıdakilerden hangisidir? (Which of…

A:

Q: How many distinct cosets are there in the factor ring Z[i] / ? Explain your answer.

A: Given: Let's determine the number of distinct cosets of the factor ring ℤi3+i.

Q: AABC and ADBC lie on same side of BC. If BA=CD, BD=CA, prove that AD||I

A: Introduction: A parallelogram is a type of quadrilateral produced by intersecting lines. A…

Q: 13. Use diagonalization to compute A2n+1, where n a positive integer. 1 A =

A:

Q: Establish He for mulas below induction. by morthe molical (11:2+2:343.44 +ncnt)こ n(nt)Cht2) Por all…

A:

Q: . Consider the following bases for Mat2,2(R): {G ). (, ). (; ") (6 9}. {(6 })· (: 9)- (; ). (? )} B…

A:

Q: 15. Find the two square roots of the following and write your answer in standard form. 2+ 2iv3

A:

Q: 2. Consider the following bases for R[X]deg<2: В :%3D {1+ X+X?, X?, х+х?}, С :%3 {1+ X, 1, х?}).…

A:

Q: If A is singular, what can you say about the product A adj A?

A: For any given matrix A, A (adj (A) ) = det (A) I where I is the identity matrix.

Q: 1+ 2i = a + bi , then z = 3- 4i 2 34. If z- 1 z ==+= B 2 Z=- 5 D -152I52N In N

A:

Q: Determine the moduli and argument of (3 + j4)1/3

A: Use the basic concept of complex number and solve the problem.

Q: Question 3. Assume dim V a, B? = n and a, 3 are two ordered bases of V. Are the following statements…

A: Change of basis is very significant in linear algebra. For a finite-dimensional vector field, if…

Q: Find the bases af ths four fundamental Sudspores of the matria A | 3 4 09 NCA)- basis NCAT) = R…

A:

Q: 0. Write a two-column proof. Given: ZD = ZA and AC DC Prove: BA e ED D A E

A: Two column proof

Q: The modulus of 5 + 4i is * O-41 O-√41 O√41 041 The conjugate of (i-i²)³ is O-2-21 2+2i -2+2i Oi-1

A:

Q: what is the answer to i59 using the formula a+bi

A:

Q: 4 Evaluate the expression 2i and write the result in 7i the form a + bi.

A: We have given expression -4-2i7i -4-2i7i = -4-2i7ix-7i-7i                  = 28i+14i2-49i2…

Q: k and Ĉ = к апd rs along the a ICorteeion

A:

Q: 10. Given: DE || AC Prove: AABC- ADBE B. D. C Complete the proof. Statements Reasons DE || AC ZAE…

A: We have to show similar triangle

Q: 7. Trapezoid ABCD has bases AB and CD. If AC and BD intersect at X, then AAXD and ABXC are ?…

A: Given: Trapezoid ABCD with bases AB¯ and CD¯ and  AC¯ and BD¯ intersects at X. To determine: ∆AXD…

Q: anction, k , with degree three and has roots – 2).

A: In this question, the concept of the polynomial is applied. Polynomial The term "polynomial" refers…

Q: 4. Let ABCD be a trapezoid. Assume the diagonals of ABCD trisect the midsegment of ABCD into three…

A:

Q: Determine the six roots of (717.925 + j126.589). Show the roots in Argand's Diagram.

A: Let        z=717.925+j126.589

Q: A number of the form iy is called pure imaginary ylgn O İhi O

A: given a complex number

Q: In Z[√ 2] = {a + b√ 2 | a, b∈ Z}, show that every element of theform (3 + 2√ 2)n is a unit, where n…

A:

Q: Given z = 7 +9i, find the product z•z.

A: Given,          The complex number is z=7+9i .

Q: 24+1 35-1

A:

Q: (7) Preform indicated operation on the given bases. 3pvel j. 11100,wo + 11111,wo + 10111two

A:

Q: Evaluate the cube root of z = 27cis (240°). Then raise them to cube. Show steps of your reasoning.

A: Using Demoivre's theorem, one of the cube roots is 2713cis(240°3) =3cis80°We know that the cube…

Q: 2. In figure, ZDBA = 132° and ZEAC = 120°. Show that AB>AC. E 132 D B 120* C

A: Given m∠DBA=132°,m∠EAC=120°

Q: (A) Find ( 3- 5 i )6 using DeMoivre's Theorem.

A: De-Moivre's Theorem states that if  a complex number z in polar form is given by…

Q: Give C? the standard inner product. Given that ((1+i, 2+i), (2– i,1 – i)) = a+ bi, find the value of…

A: