Question

6. Let A is a n-by-n upper triangular matrix with elements $a_{ij} = \begin{cases} -1 & i < j \\ 1 & i = j \\ 0 & i > j \end{cases}$ Show how to generate this matrix in MATLAB with eye, ones, and triu. Show that $\kappa_1(A) = n2^{n-1}$.

          6. Let A is a n-by-n upper triangular matrix with elements
$a_{ij} = \begin{cases} -1 & i < j \\ 1 & i = j \\ 0 & i > j \end{cases}$
Show how to generate this matrix in MATLAB with eye, ones, and triu.
Show that $\kappa_1(A) = n2^{n-1}$.

6. Let A is a n-by-n upper triangular matrix with elements
aij = -1 i < j
1 i = j
0 i > j
Show how to generate this matrix in MATLAB with eye, ones, and triu.
Show that κ1(A) = n2^n-1.

Added by James H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Diogo Caetano

Step 1

We can use the `ones` function for this: `all_ones = ones(n);` Show more…

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Let A be an n-by-n upper triangular matrix with elements _[ i < j i = j (lij > ] Show how to generate this matrix in MATLAB with eye, ones, and triu. Show that K(A) = n^2.