Question

Q.
Vektor

[tex]p \: = \binom{7}{5} dan \: q \: = \binom{ - 2 }{6} [/tex]
tentukan hasil dari 2p + 5q ....​

Answer 1

Verified answer

Penjelasan dengan langkah-langkah:

[tex]\tt 2p + 5q\\\\= 2\left[\begin{array}{ccc}7\\5\\\end{array}\right] + 5\left[\begin{array}{ccc}-2\\6\\\end{array}\right] \\\\\\= \left[\begin{array}{ccc}7\times 2\\2\times 5\\\end{array}\right] +\left[\begin{array}{ccc}5\times -2 \\5\times 6\\\end{array}\right] \\\\\\= \left[\begin{array}{ccc}14\\10\\\end{array}\right] + \left[\begin{array}{ccc}-10\\30\\\end{array}\right][/tex]

[tex]\tt =\left[\begin{array}{ccc}14 +(-10)\\10+30\\\end{array}\right] \\\\\\=\left[\begin{array}{ccc}4\\40\\\end{array}\right][/tex]

Answer 2

Diketahui :

[tex]p \: = \binom{7}{5} [/tex]

[tex] q \: = \binom{ - 2 }{6} [/tex]

Ditanya :

2p + 5q?

Jawab :

[tex]\sf \bf \sf 2p + 5q[/tex]

[tex] \sf \bf \sf 2 \binom{7}{5} + 5 \binom{-2}{6} [/tex]

[tex] \sf \bf \sf \binom{7 × 2}{5 × 2} + \binom{-2 × 5}{6 × 5} [/tex]

[tex] \sf \bf \sf \binom{14}{10} + \binom{-10}{30} [/tex]

[tex] \sf \bf \sf \binom{14 + (-10)}{10 + 30} [/tex]

[tex] \sf \bf \sf \binom{14 -10}{40} [/tex]

[tex] \sf \bf \sf \binom{4}{40} [/tex]

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