Year 1 Chapter 6: Matrices Flashcards

1
Q

How do you get the determinant of the matrix:
( a b )
( c d )

A

ad - bc

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2
Q

How can the determinant of M be written as?

A

. . . . . . . . . . . . . . . |a b| , |M| , det M , Δ
|c d|

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3
Q

How do you tell if a matrix is singular?

A

If the determinant of the matrix is equal to 0.

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4
Q

What is the minor of a 3x3 matrix?

A

The determinant of a 2x2 matrix that remains after the row and column containing the element have been crossed out.

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5
Q

What does the inverse of a matrix do?

A

It reverses the matrix so that if you multiply the inverse matrix and the matrix together you get the identity matrix.

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6
Q

How do you invert a 2x2 matrix?

A

__𝟷̲__ x ( d -b )
det M (-c a )

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7
Q

How do you invert a 3x3 matrix?

A

__𝟷̲__ x C^t
det A

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