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Question : Find UP PGT Math previous years question paper solution of the following problem Solution : Let A={a,b,c,d,e} and B ={a,b,c,d,e} So \[A\times B \] has 5*5 =5^2 elements…

Question : Find the solution of the following problem of UP PGT Math Previous year Question Papers Solution Solution : Given sets \[A=\left\{x:\frac{x}{2}\in Z,\ 0\le x\le10\right\}\] We can write it…

Question : Find eigen values and eigen vectors in matlab of the following matrices Solution : Part(a) Input the matrix A as follows >>A=[-0.2 -0.1 -0.15;-0.225 -0.15 -3/10;1.1 1.1 0]…

Question : Find eigen values in matlab of the following matrix Solution : Part(a) : Eigen values of A Step 1 : Write the matrix >>A=[-0.2 -0.1 -0.15;-0.225 -0.15 -3/10;1.1…

Question : Find roots of polynomial in matlab Solution : Let given polynomials as \[p=x^3+\frac{7}{20}x^2-\frac{177}{400}x-\frac{33}{1600}\] \[q=3x^2+\frac{7}{10}x-\frac{177}{400}\] Now to find their roots in matlab as follows First we shall write polynomial…

Question : How to evaluate a function at a point in matlab f(x,y,z) = 2-x-0.5y-0.75z-x , g(x,y,z) =2.5-0.75x-0.5y-z-0.5y, h(x,y,z) =-0.25+0.5x+0.5y at point (1/5, 3/10, 11/5) Solution : We shall evaluate…

Question : how to solve following linear system in matlab Solution : Given linear system \[x+0.5y+0.75z=2,\]\[ 0.75x+0.5y+z=2.5,\]\[ 0.5x+0.5y=0.25\] We can solve this linear system in matlab by writing following lines…