Matrix polynomials Polynomial
a matrix polynomial polynomial matrices variables. given ordinary, scalar-valued polynomial
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{\displaystyle p(x)=\sum _{i=0}^{n}{a_{i}x^{i}}=a_{0}+a_{1}x+a_{2}x^{2}+\cdots +a_{n}x^{n},}
this polynomial evaluated @ matrix is
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{\displaystyle p(a)=\sum _{i=0}^{n}{a_{i}a^{i}}=a_{0}i+a_{1}a+a_{2}a^{2}+\cdots +a_{n}a^{n},}
where identity matrix.
a matrix polynomial equation equality between 2 matrix polynomials, holds specific matrices in question. matrix polynomial identity matrix polynomial equation holds matrices in specified matrix ring mn(r).
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