Matrices Flashcards

1
Q
  • Reduces complicated systems of equations to simple expressions
  • Adaptable to systematic method of mathematical treatment and well suited to computers
A

Matrix

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2
Q

is a set or group of numbers arranged in a square or rectangular array enclosed by two brackets

A

Matrix

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3
Q

The number of rows may be any integer but the number of columns is always 1

A

Column matrix or vector

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4
Q

Any number of columns but only one row

A

Row matrix or vector

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5
Q

Contains more than one element and number of rows is not equal to the number of columns

A

Rectangular matrix

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6
Q

The number of rows is equal to the number of columns

A

Square matrix

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7
Q

A square matrix where all the elements are zero except those on the main diagonal

A

Diagonal matrix

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8
Q

A diagonal matrix with ones on the main diagonal

A

Unit or Identity matrix - I

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9
Q

All elements in the matrix are zero

A

Null (zero) matrix - 0

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10
Q

A square matrix whose elements above or below the main diagonal are all zero

A

Triangular matrix

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11
Q

A square matrix whose elements below the main diagonal are all zero

A

Upper triangular matrix

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12
Q

A square matrix whose elements above the main diagonal are all zero

A

Lower triangular matrix

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13
Q

A diagonal matrix whose main diagonal elements are equal to the same scalar

A scalar is defined as a single number or constant

A

Scalar matrix

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14
Q

Two matrices are said to be equal only when all
corresponding elements are equal

Therefore their size or dimensions are equal as well

A

EQUALITY OF MATRICES

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15
Q

the number of columns of A must equal the number of rows of B

A

conformable

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