Evaluate each determinant in Exercises 1–10. - 7 14 2 - 4

Question

Determinant evaluation exercise for college algebra, showing a 2x2 matrix with values -7, 14, 2, -4.

Accepted Answer

Welcome back. I am so glad you're here. We are given this two by two. Matrix. The first column is negative 45 and the second column is 12 negative six. And we are asked to evaluate the second order determinant. Will we recall from previous lessons on second order determinants that we take the term in the upper left hand corner and multiply it by the term in the bottom right hand corner. So negative four times negative six which is a positive 24. Next we take the term in the bottom left hand corner and multiply it by the term in the upper right hand corner five times 12 is 60. And then we are going to subtract these two terms. So the first term 24 minus the second term 60 Gives us a negative 36 and that is our determinant. We look at our answer choices in this matches with answer choice C. Well done. We'll catch you on the next one.

Evaluate each determinant in Exercises 1–10. - 7 14 2 - 4

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