MATRIX Flashcards

1
Q

Unit or identity matrix

A

Diagonally 1

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2
Q

Addition of matrix

A

A+B=[aij+bij]

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3
Q

Subtraction of matrix

A

A-B=[aij-bij]

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4
Q

If A mxn Bpxq then

A

AB mxq

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5
Q

Matrix multiplication is not __________.

A

Commutative

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6
Q

Matrix addition is ___________^^

A

Commutative

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7
Q

Matrix multiplication is ____________

A

Associative

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8
Q

Matrix transpose is

A

Interchanging rows with columns

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9
Q

Symmetric matrix is

A

Aij=aji

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10
Q

Skew symmetric matrix

A

Aij=-aji

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11
Q

In skew symmetric matrix

A

Diagonal elements are zero

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12
Q

A+AT=

A

Symmetric matrix

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13
Q

A-AT=

A

Skew sym.

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14
Q

To verify AT

A

A=1/2[(A+AT)+(A-AT)]

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15
Q

(A+B)T=

A

AT+BT

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16
Q

(AT)T=

A

A

17
Q

(AB)T=

A

BTAT

18
Q

Co factor formula

A

Cij=(-1)i+jMij

19
Q

A inverse

A

1/|A|adjA