In matrix algebra, a matrix K equals ( begin{pmatrix} 1&0&0 0&1&0 0&0&3 end{pmatrix} ). What is the value of a, if K7 = ( begin{pmatrix} c&0&0 0&b&0 0&0&a end{pmatrix} )?

In matrix algebra, a matrix K equals ( begin{pmatrix} 1&0&0 0&1&0

1.	In matrix algebra, a matrix K equals ( begin{pmatrix} 1&0&0 0&1&0 0&0&3 end{pmatrix} ). What is the value of a, if K⁷ = ( begin{pmatrix} c&0&0 0&b&0 0&0&a end{pmatrix} )?
A.	2187
B.	729
C.	6561
D.	5<sup>7</sup>
Answer» B. 729

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In matrix algebra, a matrix K equals ( begin{pmatrix} 1&0&0 0&1&0 0&0&3 end{pmatrix} ). What is the value of a, if K7 = ( begin{pmatrix} c&0&0 0&b&0 0&0&a end{pmatrix} )?

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In matrix algebra, a matrix K equals ( begin{pmatrix} 1&0&0 0&1&0 0&0&3 end{pmatrix} ). What is the value of a, if K⁷ = ( begin{pmatrix} c&0&0 0&b&0 0&0&a end{pmatrix} )?