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What is the determinant of matrix A=\left[\begin{array}{ccc} 6&9.8\\ {3}&{2}\end{array}\right]?

Question

What is the determinant of matrix

A=\left[\begin{array}{ccc} 6&9.8\ {3}&{2}\end{array}\right]?

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Solution

The determinant of a 2x2 matrix

A=\left[\begin{array}{ccc} a&b\ {c}&{d}\end{array}\right]

is calculated by the formula ad - bc.

So, for the matrix

A=\left[\begin{array}{ccc} 6&9.8\ {3}&{2}\end{array}\right]

the determinant would be (62) - (39.8) = 12 - 29.4 = -17.4.

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