Can You Solve This Cambridge University Maths Problem?
<p>We can factor out <em>x</em>, <em>y</em> and <em>z</em> in the right hand side. This cancels out the denominator of <em>x</em>, <em>y</em> and <em>z</em> when we substitute in the expressions given in the question:</p>
<p><img alt="" src="https://miro.medium.com/v2/resize:fit:297/1*0HF6_4mWcxmb1ZpyU5zLpg.png" style="height:443px; width:297px" /></p>
<p>Written by me in LaTeX</p>
<p>Which is what we needed to show. </p>
<p>Next, we need to show that <em>yz + zx + xy = -1. </em>To obtain an expression in <em>x</em>, <em>y</em>, and <em>z</em>, we should use the <strong>determinant </strong>of the matrix, which we will call <em>A. </em>What is the determinant of <em>A</em>?</p>
<p>We are given that <em>A</em> maps the following vector to the zero vector:</p>
<p><a href="https://medium.com/new-writers-welcome/can-you-solve-this-cambridge-university-maths-problem-4927aef64092"><strong>Website</strong></a></p>