Quiz about Basis dan Dimensi

Question 1

Himpunan $$\left\{\left(0\ 0\right)^t\right\}$$ merupakan himpunan bebas linear.

Accepted Answer

Salah

Answer

Benar

Question 2

Himpunan $$\left\{\left(0\ 0\right)^t,\ \left(1\ 2\right)^t\right\}$$ merupakan himpunan bebas linear.

Accepted Answer

Salah

Answer

Benar

Question 3

Himpunan $$\left\{\left(3\ 5\right)^t,\ \left(1\ 2\right)^t\right\}$$ merupakan himpunan bebas linear.

Accepted Answer

Benar

Answer

Salah

Question 4

Pilihlah dua himpunan yang merupakan himpunan bebas linear.

Accepted Answer

$$S=\left\{\left(1\ 1\right)^t,\ \left(1\ 2\right)^t\right\}$$

Accepted Answer

$$T=\left\{\left(2\ 1\right)^t,\ \left(1\ 2\right)^t\right\}$$

Answer

$$U=\left\{\left(1\ 1\right)^t,\ \left(2\ 2\right)^t\right\}$$

Answer

$$V=\left\{\left(1\ 1\right)^t,\ \left(0\ 0\right)^t\right\}$$

Question 5

Nilai $$a$$ sehingga himpunan $$\left\{\left(1\ a\right)^t,\ \left(3\ 6\right)^t\right\}$$ tidak bebas linear adalah

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 6

Himpunan $$S=\left\{\left(1\ 1\right)^t,\ \left(1\ 0\right)^t\right\}$$ merupakan basis untuk $$R^2$$

Accepted Answer

Benar

Answer

Salah

Question 7

Himpunan $$S=\left\{\left(1\ 1\right)^t,\ \left(1\ 2\right)^t\right\}$$ merupakan basis untuk $$R^2$$

Accepted Answer

Benar

Answer

Salah

Question 8

Himpunan $$S=\left\{\left(2\ 2\right)^t,\ \left(3\ 4\right)^t\right\}$$ merupakan basis untuk $$R^2$$

Accepted Answer

Benar

Answer

Salah

Question 9

Himpunan $$S=\left\{\left(2\ 2\right)^t,\ \left(4\ 4\right)^t\right\}$$ merupakan basis untuk $$R^2$$

Accepted Answer

Salah

Answer

Benar

Question 10

Pilihlah dua himpunan yang merupakan basis untuk $$R^2$$

Accepted Answer

$$U=\left\{\left(1\ 0\right)^t,\ \left(1\ 1\right)^t\right\}$$

Accepted Answer

$$T=\left\{\left(2\ 1\right)^t,\ \left(3\ 2\right)^t\right\}$$

Answer

$$S=\left\{\left(1\ 2\right)^t,\ \left(2\ 4\right)^t\right\}$$

Answer

$$V=\left\{\left(1\ 1\right)^t,\ \left(2\ 2\right)^t\right\}$$

Question 11

Himpunan $$\left\{\left(1\ 1\right)^t\right\}$$ merupakan basis untuk $$\left\{\left(a\ b\right)^t\in\ R^2\ \mid\ a+b=0\right\}$$

Accepted Answer

Salah

Answer

Benar

Question 12

Himpunan $$\left\{\left(1\ -1\right)^t\right\}$$ merupakan basis untuk $$\left\{\left(a\ b\right)^t\in\ R^2\ \mid\ a+b=0\right\}$$

Accepted Answer

Benar

Answer

Salah

Question 13

Himpunan $$\left\{\left(1\ \ 0-1\right)^t,\ \left(0\ 1\ -1\right)^t\right\}$$ merupakan basis untuk $$\left\{\left(a\ b\ c\right)^t\in\ R^3\ \mid\ a+b+c=0\right\}$$

Accepted Answer

Benar

Answer

Salah

Question 14

Dimensi dari $$\left\{\left(a\ b\ c\right)^t\in\ R^3\ \mid\ a+b+c=0\right\}$$ adalah ...

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 15

Dimensi dari $$\left\{\left(a\ b\ c\ \right)^t\in\ R^3\ \mid\ a+b=0\ \right\}$$ adalah ...

Accepted Answer

2

Answer

0

Answer

1

Answer

3

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