IN: Is it true that does a square matrix always have an inverse?

A square matrix that is not invertible is called singular or degenerate. A square matrix is singular if and only if its determinant is 0. Singular matrices are rare in the sense that a square matrix randomly selected from a continuous uniform distribution on its entries will almost never be singular.

OPTIONS:
- no
- yes

OUT: no

IN: Is it true that is the movie the lost valentine based on a true story?

The teleplay was written by Maryann Ridini Spencer & Barton Taney. Spencer met the author of the book, James Michael Pratt, in 2001 and fell in love with the story line. Her screenplay based on the novel, ultimately resulted in a contract with Hallmark. Spencer is also co-producer of the project.

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- no
- yes

OUT: no

IN: Is it true that is significance level the same as confidence interval?

It is worth noting that the confidence interval for a parameter is not the same as the acceptance region of a test for this parameter, as is sometimes thought. The confidence interval is part of the parameter space, whereas the acceptance region is part of the sample space. For the same reason, the confidence level is not the same as the complementary probability of the level of significance.

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- yes

OUT: no

IN: Is it true that can a car have manual and automatic transmission?

A semi-automatic transmission (also known as a clutch-less manual transmission, auto-manual, automated manual transmission, trigger shift, flappy-paddle gear shift, Manumatic, Tiptronic, Touchshift, Geartronic, Sportronic or paddle-shift gearbox) is an automobile transmission that combines manual transmission and automatic transmission.

OPTIONS:
- no
- yes

OUT:
yes