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Question

Determine which of the matrices in Exercises $7-12$ are orthogonal. If orthogonal, find the inverse. 
$$
\left[\begin{array}{rr}{1} & {1} \ {1} & {-1}\end{array}ight]
$$

Pagadala Kishore Reddy · Accepted Answer

let my taxi calls toe 11 one minus one. No, the eight clans spores equals 11 one minus one now in tow. Hit on. Suppose he quarrels. One plus one one minus one. The third element is one minus one Foretell mentees. One place for that equals two to Jiro General, go into a trance Particle stones to 00 toe which is not equal to toe identity. Matics I So we can say that given Matics here is not here. Are you gonna metrics? Thank you for watching.

Chris Trentman · Answer

were given a matrix were asked to determine if it&#x27;s 1/4 ogle and, if so, to find its inverse. First we have the Matrix A is 0.6 0.8 point eight negative 0.6, and so a transposed is equal to Dagnall stays the same 0.6 negative 0.6 and we exchange 0.8 and 0.8. And we have that. The determinant of A is equal to his 0.6 times negative 0.6. So negative 0.36 minus 0.8 times pointing 0.64 mrs equal to negative point or negative one. And so it follows that a inverse exists and is equal to one over the determinant of a so one over negative one times. And then we have the we&#x27;ll exchange 0.6 with negative 0.6. So we have negative 0.6 0.6 and flip the signs. So have negative 0.8 and again, a negative 0.8. This is equal to 0.6 0.8 point a negative 0.6 and so we can see that be transposed is equal to a inverse and therefore it follows that a is an orthogonal matrix. A transposed is seems a in verses 0.6 point 8.8 negative 0.6

Pagadala Kishore Reddy · Answer

it&#x27;s given that dramatic C equals two. One by three Toe by three by three two by 31 My three minus two by 22 by three Minus two by 31 by three No a transpose Sequins one by three two by three Kobe three then two by three one by three minus to wait three and the hard colonies two by three minus two by three, one by a tree. If you want to play with magic c eight mitt transpose you will Yet one gentle, gentle Gino one Judo geul Geul Want the cheese equal to Okay, so we can say that the Grand Matics is Hey, our doe Gordon Magics. And we know that in tow inwards equals two. Right, So here a transfer was equals two The n word inverse matrix I So the investments metrics Amos equals two on my 32 by three to wait three to bay three one by three minus two by three To weigh three minus two by 31 break. Thank you for watching

Chris Trentman · Answer

were given a matrix and were asked to determine if the Matrix is orthogonal and, if so, to find the Matrix&#x27;s inverse matrix. A is 2/3 2 3rd 1/3 0 1/3 negative 2/3 5/3 negative, 4/3 negative 2/3 to determine if a is an orthogonal matrix. Get to determine if the column and row vectors of a are Ortho normal to each other. So we have that 2/3 zero 5/3 started with 2/3. 1/3 native 4/3 is equal to well, this is going before nineths plus zero minus 29th is equal to negative 16 9th which is clearly not equal to zero. So it follows that these vectors are not orthe ogle, and therefore it follows that a is not an orthogonal matrix.

Pagadala Kishore Reddy · Answer

we&#x27;re going. I didn&#x27;t Yeah. Do you? Thank you. You okay?

Chris Trentman · Answer

were given a matrix and were asked to determine if the Matrix is symmetric. Matrixes 355 negative seven. Noticed that if we draw a line through the diagonal, we see that matrixes symmetric across this diagonal. So get five on both sides and this means that this is a symmetric matrix.

Problem

Determine which of the matrices in Exercises $7-1…

Problem 8 Easy Difficulty

Determine which of the matrices in Exercises $7-12$ are orthogonal. If orthogonal, find the inverse.
$$
\left[\begin{array}{rr}{1} & {1} \\ {1} & {-1}\end{array}\right]
$$

Answer

No

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

Linear Algebra and Its Applications

Catherine R.

Heather Z.

Caleb E.

Kristen K.

Absolute Value - Example 1

Absolute Value - Example 2

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Linear Algebra and Its Applications

Catherine R.

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Absolute Value - Example 1

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

Catherine R.

Heather Z.

Caleb E.

Kristen K.

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

Linear Algebra and Its Applications