Evaluate each determinant in Exercises 1–10. - 4 1 5 6

Question

Determinant of a 2x2 matrix with values -4, 1, 5, and 6 for Exercise 3.

Accepted Answer

Welcome back. I am so glad you're here. We are given this two by two. Matrix. I'm going to copy down the first column negative 82 and then the second column 74. And we are asked to evaluate the second order determinant. Will we recall from previous lessons on second order determinants. We're going to take the term in the upper left hand corner and multiplied by the term in the bottom right hand corner. So negative eight times four, which is negative 32. And then we will take the term in the bottom left hand corner and multiply it by the term in the upper right hand corner. So two times seven which is 14. And then we are going to subtract those two terms from each other. So the first term negative 32 minus the second term, 14, negative 32 minus 14 gives us a negative 46 and this is our determinant. We look at our answer choices and this matches with answer choice. A well done. We'll catch you on the next one.

Evaluate each determinant in Exercises 1–10. - 4 1 5 6

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