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VARVARA [1.3K]
3 years ago
15

Every orthogonal matrix is invertible. O True O False

Mathematics
1 answer:
scZoUnD [109]3 years ago
7 0

Answer:

True

Step-by-step explanation:

Every orthogonal matrix is invertible. This is a true statement.

Orthogonal matrices are square matrix whose rows and columns are orthogonal unit vectors.

In an orthogonal matrix columns are linearly independent and since the columns are linearly independent the matrix will be matrix will be invertible. This is according to invertible matrix theorem.

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Answer:

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Step-by-step explanation:

Explanation of

      _

     |   5,             x < -3

f(x) | 2x² - 4,       -3 ≤ x ≤ 4

     | 1 - 6x ,       x > 4

     _

When the x in f(x) is less than -3 than f(x) = 5

When the x in f(x) is greater than -3 but less than 4 then f(x) = 2x² - 4

When the x in f(x) is greater than 4 than f(x) = 1 - 6x

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Now that we know this lets look back at the question.

We want to find f(-4).

Looking at the piece wise function we see that f(-4) follow x < -3 as "x" or -4 is less than -3. When x is less than -3, f(x) = 5, hence f(-4) = 5

     

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