Without expanding the determinants, 103 115 114 113 116 111 108 106 + 108 106 104 113 116 115 114 prove that 104 111 = 0. 103

Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 22n-3 12 00 ac? cn 4 Türkçe:…

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Q: Compute the pseudo inverse of A

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Q: tan(u + v) = ______

A: You must be knowing the properties of sin(u + v) and cos(u + v)   those are,   sin(u + v) = sinu…

Q: Show that if x+yi=(a+bi)- is true, then x-yi=(a-bi)-is all real numbers). true (x, y, a, and b are

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Q: -1 -2 -3 -41 1 2 3 Let A = 1 2.) Find adj (A)

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Q: Use Cramer's rule to solve the following set of equations, 2x1 + x2 =44 x1 + x2=72 3x1 + 5x3=69 2x2…

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Q: -8 -6 - 41 | + 3. 10 -6] Compute: 4 · 1

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Q: 137 mod |

A: The answer is : 7137 (mod 11) = 6  The detailed solution is as follows below:

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

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Q: -275 2. Let A 013 -135 Find the adjoint of A.

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Q: Let C= (replace the third column with the second column C2 C.). Show that |Cl=-IAl (Home work) lumn…

A: As two questions are given , I will do only the first one : C=13211-1243…

Q: Show that B is the inverse of A. To show that B is the inverse of A, we need to show that AB = I =…

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Q: Verify that there is no magic square of order 2.

A: We will verify that there is no magic square of order 2 using the proof by contradiction.

Q: 106. Prove that (a + bi) = (a² – b) + (2ab)i.

A: Given- a+bi2=a2-b2+i2ab To prove- The above statement. Formula Used- x+y2=x2+y2+2xy and i2=-1

Q: x² + 4x = 10(mod11) (mod11) X=

A: Given that x2+4x≡10 (mod 11)x2+4x+4≡10+4 (mod 11)x2+4x+4≡14 (mod 11)x2+4x)(x+2)2≡14+11 (mod…

Q: Show that [-a, b] is the additive inverse of [a, b] in Q.

A: To Prove -a,b is the additive inverse of a,b in ℚ. By definition of additive inverse, For y in ℝ,…

Q: (b) Let A and Bị be independent; similarly, let A and B2 be independent. Show that in this case, A…

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Q: y QI:: Let X₁, X₂ ~ N(0,1) 1) X1-X₂ X₁ + X2 2) (x1+x²)2 X₁-X2 what dist of 2X² 3) x² + x²

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Q: Let c, a, ß be nonzero real numbers such that c + B. Find a given that 00 162n-3 ac² cn 4

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Q: .

A: Given

Q: Find a number a such that 70a = 1 mod 17.

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Q: 6. b. a. does not exist Find the inverse of -1 -1 Ed -4 نما 3 -4 -1 1 if it exists. C. 1 1 B 4 3 d.…

A: Given that the matrix 3-1-41

Q: Compute the pseudo inverse of A

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Q: Write down the elemtns in (d) and (e)

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Q: Prove that 18000 + 28000 38000 Theorem (and not a calculator). 18000 + 58000 + +4° 8000 is a…

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Q: Compute 21200 mod 27.

A: We want to compute 21200 mod 27.

Q: 2- Compute 1+i 2-51

A: Given that,      1+i2-5i

Q: ow that every positive interger can be written as the product or a sqaure and a square free interge

A: To show that every positive integer can be written as the product of a square of an integer and a…