8. If (RS) =(PN) ZS = ZN, (ST)=(NM)¯and then ARSTE APNM by . SAA Congruence Theorem SAS Congruence Theorem ASA Congruence Theorem sss Congruence Theorem

Q: 1- iz If z = x +iy and w =- z-i show that w = 1= zis purely real

A: Use modulus property

Q: © of power Use. the dufferentiabily selies to Find the sam 13 2n+1 fu) 2n+1 within its se radus of…

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Q: =) Prove: If A is invertible, then det(A-1) = ) Prove: If A is inverible, then adj(A) is inve

A: Introduction: In the case of real numbers, the inverse of any real number a was the number a-1, so…

Q: 6. (a) Use the Cauchy-Schwarz Inequality to prove that, for any finite sequences of complex numbers…

A: All the problems are application of Cauchy Schwarz inequality

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A: Definition used -             Limit of a rational function -             If limit x tends…

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A: We have to deter∑x=2nx(x-1)nCxpx(1-p)n-x   determine the value of the expressionwhere 0≤p≤1…

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Q: 3. Write the cov(a + bx, c + dY) in terms of var(X), var(Y), and cov(Y,X) (Math proof)

A: Using the properties of covariance, the expression simplifies to:cov(a + bX, c + dY) = ac * cov(X,…

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A: We need to show that, If Y=aX+b then Corr(X,Y)= +1 or -1

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A: The regression analysis is the prediction of the value of one variable when the value of the other…

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A: Here we can use following formula If z1=a+bi, z2=c+di,…

Q: Find limn→∞ Zn, where zn = 2n + 2 n + 2n 2n +1 -i.

A: