Matrix with 0: Comparing Analog Matrices

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SUMMARY

The discussion centers on the comparison of two matrices: a 3x3 matrix with zero elements and a 2x2 matrix containing variables. It is established that these matrices are not analogs due to their differing dimensions, which affects their properties and operations. The conclusion emphasizes that matrix dimensions are critical in determining their equivalence and functionality in mathematical operations.

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Homework Statement


i have matrix
[tex]\begin{bmatrix}0&0&0\\ 0&a&b\\ 0&c&d\end{bmatrix}[/tex]
is this matrix analog to
[tex]\begin{bmatrix}a&b\\ c&d\end{bmatrix}[/tex]?
 
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What do you mean by "analog"? The first is a 3x3 matrix, and the second is a 2x2 matrix. Properties and operations with matrices depend on their "dimension". So no, you can't replace them.
 

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