MathAlgebraLinear algebraMatrices

Types of matrices

Theory

Symmetric matrix

Report a typo

Correlate the rows of the 5×55\times5 matrix on the left with the values that will occupy the gaps so that the result is a symmetric matrix.

Please note: the values from the right column occupy the gaps in the order they are given.

Example of 5×55\times5 symmetric matrix:

(1234526789371011124811131459121415)\begin{pmatrix} 1 & 2 & 3 & 4 & 5\\ 2 & 6 & 7 & 8 & 9\\ 3 & 7 & 10 & 11 & 12\\ 4 & 8 & 11 & 13 & 14 \\ 5 & 9 & 12 & 14 & 15\end{pmatrix}

Match the items from left and right columns
1    2    0    _    _1 \;\; 2 \;\; 0 \;\; \_ \; \;\_
_    3    4    0    _\_\;\; 3\;\; 4\;\; 0\;\; \_
_    _    0    8    6\_ \;\; \_ \;\; 0 \;\; 8 \;\; 6
7    _    _    9    0 7 \;\; \_ \; \;\_ \;\; 9 \;\; 0
5    1    _    _    7 5 \;\; 1\;\; \_ \;\; \_ \;\; 7
0, 80,\, 8
0, 40,\, 4
7, 57, \,5
6, 06,\, 0
2, 12,\, 1
___

Create a free account to access the full topic