perplexus.info :: Just Math : Entries of a matrix

Entries of a matrix (Posted on 2021-01-29)

Let be a natural number n≥2 and the n×n matrix whose entries at the i-th line and j-th column is min(i,j). Calculate:

a) its determinant
b) its inverse

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Trivial solution for n=2

| Comment 2 of 5 |

(In reply to Trivial solution for n=2 by Kenny M)

actually for n=2 not every element is 1. Element 2,2 is 2.

The determinant of

1 1

1 2 is 1, not zero.

Posted by Charlie on 2021-01-29 18:02:24

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