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Sagot :
No, Then the matrix has three columns and the eigenspaces' sum of dimensions is zero. The eigenspace's dimensions and the number of columns must add up to be equal.
A matrix is a rectangular arrangement of a collection of numbers into a fixed number of rows and columns. When the elements are arranged in a matrix horizontally, it forms the rows of a matrix. When the elements are arranged in a matrix vertically, it forms the columns of a matrix.
Define a Matrix:
A matrix, also spelled "matrices," is a rectangular table, array, or set of letters, numbers, or phrases that are arranged in rows and columns to represent a mathematical object or a property of such an entity.
There are three eigen-spaces, since A has three eigen values, the dimension of each of the eigen value is at least one as there is at least one non-zero eigen vector in them.
Therefore,
No, Then the matrix has three columns and the eigenspaces' sum of dimensions is zero. The eigenspace's dimensions and the number of columns must add up to be equal.
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