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Q4. (A)_ If a-12 4 68 10; 31415; 24 6 8 10; 1 234 5; 4790 61. find the sub matrices with explain it. •a(:,3) - a (:,3:5) - a (5,:)-11

Q4. (A)_ If a-12 4 68 10; 31415; 24 6 8 10; 1 234 5; 4790 61. find the sub matrices with explain it. •a(:,3) - a (:,3:5) - a (5,:)-11

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q4. (A) If a-12 4 68 10; 31415; 246 8 10; 1 234 5; 4790 61. find the sub matrices with explain it. a(:,3) -a (:, 3:5) - a (5.:)-11
Transcribed Image Text:Q4. (A) If a-12 4 68 10; 31415; 246 8 10; 1 234 5; 4790 61. find the sub matrices with explain it. a(:,3) -a (:, 3:5) - a (5.:)-11
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Step 1

Remark: 

Let a be an m*n matrix, then a(:, p) gives  sub-matrix of order m*1 with elements of p-th column of matrix a. Thus a(:, p) gives a column matix with elements of p-th column of a, for 1<= p<= n.

Similarly a(:, p:q) gives a sub-matrix of order m*(q-p+1) with elements of p-th to q-th column of matrix a, for 1<= p, q<= n.

Also a(p,:) =[ ] gives a sub-matrix of order (m-1)*n with the elements same as matrix a except deleted the p-th row. So, a(p,:) =[ ] basically delete the p-th row of matrix a, for 1<= p<= n.

 

 

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