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AWS Full Form

What Is The Full Form Of AWS?  The full form of AWS is Amazon Web Services.  AWS is a comprehensive... View Article

Let [latex]A=\begin{bmatrix} a_{1}\\ a_{2} \end{bmatrix}[/latex] and [latex]B=\begin{bmatrix} b_{1}\\ b_{2} \end{bmatrix}[/latex] be two 2 × 1 matrices with real entries such that A = XB, where X =[latex]\frac{1}{\sqrt3}\begin{bmatrix} 1 &-1 \\ 1&k \end{bmatrix}[/latex], and k ∈ R. If (a12 + a22) = (2 / 3) (b12 + b22) and (k2 + 1) b22 ≠ – 2b1b2, then the value of k is

Answer: (1) XB = A (1 / √3) \(\begin{array}{l}\begin{bmatrix} b_{1}-b_{2}\\ b_{1}+kb_{2} \end{bmatrix}=\begin{bmatrix} a_{1}\\ a_{2} \end{bmatrix}\end{array} \) b1 – b2 =... View Article