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Question

In Exercises 21–23, use determinants to find out if the matrix is invertible.
$$
\left[\begin{array}{rrr}{5} & {1} & {-1} \ {1} & {-3} & {-2} \ {0} & {5} & {3}\end{array}ight]
$$

James Chok · Accepted Answer

Okay, so in this question, we want to find if this is in vertical by. Using is determined. So there&#x27;s taking experiments by one minus 11 My mystery, minus two. Your five and three performing operations. We perform row one and it&#x27;s attract by off road, too. With that integrate one. So this is equal to dessert cause five minutes 50 and we have one minus 15 so that you won plus 16. So that one plus 15 on Ben we have negative one Justin, which gives you not. This is one minus three minus two. There are five Ansari so determined off this. So remembering our signs, it would expand along. This column is positive and this is negative. So this is 91 times by 16 mine five nc, which is negative one times by 16 times by three miners. Nine times five 16 Time by three is 36 you said 3 18 So that&#x27;s 48 minus 5 45 which is negative one times by three. So we should 93. Since this is not equal to zero, it&#x27;s me

Foster Wisusik · Answer

Okay. This question wants us to find the determinant of this two by two matrix right here. So to do that, remember, we just multiply the first diagonal entries, and then we subtract the product of the other diagonal. So if we do this, we end up with three minus 12 which is negative nine so that their determinant

Foster Wisusik · Answer

Okay. This question wants us to find the determinant of this two by two matrix. So for two by two matrices, remember, What were you d&#x27;oh? Because we just take the product of the first diagonal. So we do six times three and then we subtract the products of the other diagonal. So negative five times two. So could be a little tricky here. Just remember that were subtracting negative five times two. In reality, it&#x27;s 18 plus 10 which turns out to give us an answer of 28 as air determinant.

Foster Wisusik · Answer

Okay. This question wants us to find this two by two determinant. So we just use our method for two by two determinants where we first multiply the entries along the main diagonal. And then we subtract the product of the other diagonal. And if we do this, we get negative 21 minus three, which is equal to negative 24.

Sahil Patel · Answer

this video will finally determine of this two by two matrix. We&#x27;ll take the product of the four diagonal *** to over nine. Tracked the product on the backwards Dagnall minus negative 4/3 which gives us 10 nights.

Sahil Patel · Answer

in this video, we&#x27;ll be fine. The chairman of this two by two matrix will take the product of a forest diagonal and subtract the product of the backwards dying. So we have four times five minus seven times negative too, which gives us 20 plus 14 or 34.

Problem

In Exercises 21–23, use determinants to find out …

Problem 22 Medium Difficulty

In Exercises 21–23, use determinants to find out if the matrix is invertible.
$$
\left[\begin{array}{rrr}{5} & {1} & {-1} \\ {1} & {-3} & {-2} \\ {0} & {5} & {3}\end{array}\right]
$$

Answer

Determinant is non-zero. So it is invertible

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David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications

Grace H.

Catherine R.

Kayleah T.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

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Determinant is non-zero. So it is invertible

Linear Algebra and Its Applications

Grace H.

Catherine R.

Kayleah T.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

David C. Lay, Steven R. Lay, Judi J. McDonaldLinear Algebra and Its Applications

Grace H.

Catherine R.

Kayleah T.

Michael J.

David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications