in-exercises-19-assume-that-the-matrices-are-partitioned-conformably-for-block-multiplication-comput

Question

In Exercises 1–9, assume that the matrices are partitioned conformably for block multiplication. Compute the products shown in Exercises 1–4.
$\left[\begin{array}{cc}{I} & {0} \ {E} & {I}\end{array}ight]\left[\begin{array}{ll}{A} & {B} \ {C} & {D}\end{array}ight]$

Jack Chen · Accepted Answer

Okay. So since the since these two mattresses are petitioned conform of Lee So we can just direct used the metrics modification to find out a result. And the music case I means the identity a matrix and we omit the dimension because yes, I said it before They are petitioning conform obl e So we have the first injury. Where have I times a prized zero times. See Nephila second engine. We have items be past the old times d and we have e times A plus I can see in the e times pre processed items at past items D so you can simplify this? We have a e times a process e he times beep rosti. So this is the result to this problem?

Runpeng Li · Answer

Okay, so for problem for again we have to partition matrices, negative eggs, and I and a B C D. All right again we apply the matrix multiplication rule. So this will be I times a So that&#x27;s just a and zero times See said that zero and I temps piece Oh, that&#x27;s B. And there were times stay just e So on the second row we have connective x times, eh? Plus, I&#x27;m seeing just a C and second entry will be negative. X times be Plus, here we have items D so it&#x27;s just d and here&#x27;s our

Runpeng Li · Answer

Okay, so for problem, too. We need to consider the matrix product up to partition Matrix Bureau F and A B C D. Okay, so the only thing we need to do is just a matrix matrix multiplication role. And but the thing we need to be careful or here is, um, the thing that we need to be care Boyce is the the order off the off the different partitions? Because we know, in general, the mutual submission body modification. It&#x27;s not a community, so Okay, so for problem, too, we need to consider the Matrix port upped up to partition me shakes here we can first have e times, eh? Zero times, See, so that zero. So just stay anytime, Say, don&#x27;t write it as that eight times e because that&#x27;s probably wrong just in general, because anytime say it&#x27;s not it&#x27;s same as the Daytime Z, and also we have your time speed on the second entry and have time see and have times deep for the last central F and A B C D. Okay, so the only thing we need to do is just a matrix matrix multiplication role, and but the thing we need to be cared for Here is, um the thing that we need to be careful voice is the the order off the off the different partitions? Because we know, in general the mutual submission body modification. It&#x27;s not a community, so

Jack Chen · Answer

because in this program we can just directly use the rules for the magics multiplication. And we don&#x27;t need to care about the dimension because the dimensions arm aged Okay, I&#x27;m so for the first interview have zero times w plus i times why? For second trees zero times x plus i times the the third in trim of the items W plus zero times Why last in trilby I Times X plus zero times e and the Miss case I means identity sub matrix. So in the end, we have the results. Why time on y and Z w in the eggs Since off these zeros are cancels and the we can you know this I because I z identity?

Rachel Mcmahon · Answer

right in this video. We&#x27;re gonna take a look at some scaler multiplication for, um, this matrix deep. We are asked to find 100 d s. So that just means that we need to multiply each element in the Matrix tea by 100. So our first elements gonna be 18 times 100. The next one&#x27;s gonna be eight turns 107 times, 112 times, 114 times 100 or times 100 13 times 100 6 times 100 and 21 times 100 scaler multiplication.

Mohamed Mohamed · Answer

we will conduct his Kayla multiplication. So one have times that you may. Trixie, This is equal to 1/2. So I was the entries for C, which are 16 Andy and then three and five, seven, three, 18 and 29. I think it&#x27;s still Hey. I mean, distribute. See? One have I should stop closing the rockets. It&#x27;s immediate. And then one of 90 and then one have times three and 1/2 five 1/2 time. Seven one has one. I was 18 and one house times 20 night. Okay. Uh, no. Yeah, Not this time. Okay. 16 divided by 28 on nine nine. Divide by 2 45 and then three by 25 Divided by two seven. Divided by two. We divide by two. Nine and then 29 right? Right, that&#x27;s all.

Problem

In Exercises 1–9, assume that the matrices are pa…

Problem 1 Easy Difficulty

In Exercises 1–9, assume that the matrices are partitioned conformably for block multiplication. Compute the products shown in Exercises 1–4.
$\left[\begin{array}{cc}{I} & {0} \\ {E} & {I}\end{array}\right]\left[\begin{array}{ll}{A} & {B} \\ {C} & {D}\end{array}\right]$

Answer

$\left[ \begin{array} { c c } { A } & { B } \\ { E A + C } & { E B + D } \end{array} \right]$

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

Linear Algebra and Its Applications

Grace H.

Catherine R.

Heather Z.

Kayleah T.

Absolute Value - Example 1

Absolute Value - Example 2

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$\left[ \begin{array} { c c } { A } & { B } \\ { E A + C } & { E B + D } \end{array} \right]$

Linear Algebra and Its Applications

Grace H.

Catherine R.

Heather Z.

Kayleah T.

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.

Heather Z.

Kayleah T.

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

Linear Algebra and Its Applications