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Ira Lisetskai [31]
3 years ago
7

How to solve for a, b,

Mathematics
1 answer:
professor190 [17]3 years ago
3 0

It looks like the length of a and b should be the same. You can use the Pythagorean theorem (only works with right triangles):

a² + b² = c² (c is the hypotenuse or the longest side of the triangle, a and b are the other side lengths of the triangle)

a² + (4)² = (5)²

a² + 16 = 25

a² = 9

a = 3

a and b have a length of 3

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So, solving for each eigenvector subspace:

\left [ \begin{array}{cc} 4 & 2 \\ 5 & 1 \end{array} \right ] \left [ \begin{array}{c} x \\ y \end{array} \right ] = \left [ \begin{array}{c} -x \\ -y \end{array} \right ]

Gives us the system of equations:

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Producing the subspace along the line y = -\frac{5}{2} x

We can see then that 3 is the answer. 



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3 years ago
What’s the answer to f(a)
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<h2>have a great day! I hope this helps! </h2>
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