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KATRIN_1 [288]
3 years ago
15

Plss help will give brainliest and 5star

Mathematics
1 answer:
irina1246 [14]3 years ago
8 0

Answer:

<h3><em>isosceles</em></h3>

An isosceles triangle is a triangle that has two sides of equal length.

An acute triangle is a triangle with three acute angles (less than 90°).

A scalene triangle has all its sides of different lengths. Equivalently, it has all angles of different measure.

An equilateral triangle is a triangle in which all three sides are equal.

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Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? give an example
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Yes, we can obtain a diagonal matrix by multiplying two non diagonal matrix.

Consider the matrix multiplication below

\left[\begin{array}{cc}a&b\\c&d\end{array}\right]   \left[\begin{array}{cc}e&f\\g&h\end{array}\right] =  \left[\begin{array}{cc}a e+b g&a f+b h\\c e+d g&c f+d h\end{array}\right]

For the product to be a diagonal matrix,

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Consider the following sets of values

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The the matrix product becomes:

\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}\frac{1}{3}&-1\\-\frac{1}{4}&\frac{1}{2}\end{array}\right] = \left[\begin{array}{cc}\frac{1}{3}-\frac{1}{2}&-1+1\\1-1&-3+2\end{array}\right]= \left[\begin{array}{cc}-\frac{1}{6}&0\\0&-1\end{array}\right]

Thus, as can be seen we can obtain a diagonal matrix that is a product of non diagonal matrices.
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