Rango de una matriz por determinantes 03
Corresponding to the second year of high school, this video calculates the rank of a 5x4 matrix using determinants. Remember that the rank of a matrix tells us the number of rows (or columns) that are linearly independent. While this calculation can be performed using the Gauss method, it may be faster to do it using determinants, as seen in this video. In this case, since the matrix is not square, I begin constructing the rank from lowest to highest. It's obvious that the matrix has at least rank 1 since it is not the null matrix. Next, I look for a non-zero minor of order 2. If we find one, we can be sure that the rank is 2. If we don't find one, the rank would be 1, which is not the case in this specific case. Once rank 2 is assured, we look for a minor of order 3 that includes the previous non-zero minor of order 2. If we find it, the range will be equal to 3. And so on, until we try to cover the maximum possible range, in this case 4. Remember that the range in a matrix is always limited by the smallest dimension of the matrix. -- Subscribe -- https://goo.gl/g4Yb4y and activate the bell to receive notifications when I upload a new video. Use the hashtag #animopupilos **DETERMINANTS Playlist** https://goo.gl/NYXaNV **Connect with Math with Andrés** YouTube: / matesconandres Facebook: / matesconandres Twitter: / matesconandres Instagram: / matesconandres Google +: https://plus.google.com/+matesconandres **Partner Website** Math Blog: https://www.sacitametam.com
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