Question - Understanding Square Matrices
Solution:
A square matrix is a matrix that has the same number of rows and columns. We can determine if a matrix is square by checking their dimensions.Let's look at the matrices one by one:Matrix A:\[\begin{bmatrix}-1 & 4 & -2 \\-4 & 3 & 5 \\-3 & 1 & 6\end{bmatrix}\]Matrix A has 3 rows and 3 columns, so it is a 3x3 matrix.Matrix B:\[\begin{bmatrix}5 & 2 & -1 \\1 & 3 & 4 \\\end{bmatrix}\]Matrix B has 2 rows and 3 columns, so it is a 2x3 matrix and not square.Matrix C:\[\begin{bmatrix}12 & 6 \\5 & 3 \\0 & 7 \\\end{bmatrix}\]Matrix C has 3 rows and 2 columns, so it is a 3x2 matrix and not square.Only Matrix A is a square matrix because it has the same number of rows and columns (3x3).
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com