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2 years ago

9

Tommy and his wife went to the store and bought groceries there's some total was $143.50 if the sales tax was 8% what was the to

tal amount they paid for groceries

2 answers:

Tasya [4]2 years ago

8 0

143.50 x 0.08 = 154.98

Nutka1998 [239]2 years ago

6 0

Answer:

154.98

Step-by-step explanation:

* means multiplication

143.50*.08=11.48

143.50+11.48=$154.98

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Read 2 more answers

If A is nonsingular, then (AT )-1 =(A-1) T . (a) Verify this theorem for 2 × 2 matrices

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Answer:

Verified

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Let the 2x2 matrix A be in the form of:

$\left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

Where det(A) = ad - bc # 0 so A is nonsingular:

Then the transposed version of A is

$A^T = \left[\begin{array}{cc}a&c\\b&d\end{array}\right]$

Then the inverted version of transposed A is

$(A^T)^{-1} = \frac{1}{ad - cb} \left[\begin{array}{cc}a&-c\\-b&d\end{array}\right]$

The inverted version of A is:

$A^{-1} = \frac{1}{ad - bc}\left[\begin{array}{cc}a&-b\\-c&d\end{array}\right]$

The transposed version of inverted A is:

$(A^{-1})^T = \frac{1}{ad - bc}\left[\begin{array}{cc}a&-c\\-b&d\end{array}\right]$

We can see that

$(A^T)^{-1} = (A^{-1})^T$

So this theorem is true for 2 x 2 matrices

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2 years ago