what is the product [-1,2,4] •[3,6,1,2,4,0,0,6,2]

[tex]\left[\begin{array}{ccc}-1&2&4\end{array}\right] \times\left[\begin{array}{ccc}3&6&1\\2&4&0\\0&6&2\end{array}\right]\\\\=\left[\begin{array}{ccc}(-1)(3)+(2)(2)+(4)(0)&(-1)(6)+(2)(4)+(4)(6)&(-1)(1)+(2)(0)+(4)(2)\end{array}\right]\\\\=\left[\begin{array}{ccc}-3+4+0&-6+8+24&-1+0+8\end{array}\right] \\\\=\left[\begin{array}{ccc}1&26&7\end{array}\right][/tex]

choprayogita110 choprayogita110 · Answer 2 · 2022-05-18T19:55:30+02:00

Option B [1 26 7] is the product of given matrix.

What is matrix multiplication formula?

Consider matrix A which is a × b matrix and matrix B, which is a b ×c matrix.

Then, matrix C = AB is defined as the A × B matrix.

An element in matrix C, Cxy is defined as Cxy = Ax1By1 +….. + AxbBby =

AxkBky for x = 1…… a and y= 1…….c

How to multiply given matrix?

[tex]\left[\begin{array}{ccc}-1&2&4\end{array}\right][/tex]×[tex]\left[\begin{array}{ccc}3&6&1\\2&4&0\\0&6&2\end{array}\right][/tex]

=[ -1×3+2×2+4×0 -1×6+2×4+4×6 -1×1+2×0+4×2 ]

=[-3+4+0 -6+8+24 -1+0+8]

=[1 26 7 ]

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