OEF Matrices --- Introduction ---

This module actually contains 49 exercises of various styles on matrices.

Example matrix 2x2

.

Column and row 2x3

.
?

Column and row 3x3 I

?

Column and row 3x3 II

.
, ?

Determinant and rank

.
.

Det and trace 2x2


Det and trace 3x3


Diagonal multiplication 2x2

?

Left division 2x2

.

Right division 2x2

.

Equation 2x2

, .


Formula of entries 2x2

.

Formule de coefficient 3x3

=

Formula of entries 3x3 II

=
.

.


Given images 2x2

,
. , .
.

Given images 2x3

,
,
. , , .
.

Given images 3x2

,
. , .
.

Given images 3x3

,
,
. , , .
.

Given powers 3x3

, .
?

Given products 3x3

, .
?

Matrix operations

.

Min rang A^2

.  ?

Multiplication of 3

× × ×
× .

Multiplication 2x2


Partial multiplication 3x3

.
c11 .
= .

Partial multiplication 4x4

.
c11 .
= .

Partial multiplication 5x5

.
c11 .
= .

Sizes and multiplication

, .

?

: .

Parametric matrix 2x2

.

Parametric matrix 3x3

.

Parametric rank 3x4x1

: , .
.

Parametric rank 3x4x2

 : , .
.

Parametric rank 3x5x1

: , .
.

Parametric rank 3x5x2

 : , .
.

Parametric rank 4x5x1

: , .
.

Parametric rank 4x5x2

 : , .
.

Parametric rank 4x6x1

: , .
.

Parametric rank 4x6x2

 : , .
.

Pseudo-inverse 2x2

( )
  .
.

Pseudo-inverse 2x2 II

( )
  .
.

Pseudo-inverse 3x3

( )
.
.

Quadratic solution 2x2

, .

Rank and multiplication


Square root 2x2*


Symmetry of the plane


Symmetry of the plane II

?

Trace of A^2 2x2

. ?

Unimodular inverse 3x3

.

Unimodular inverse 4x4

.

Other exercises on: Matrix   Determinant   Linear algebra  


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Description: collection of exercises on matrices. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, nice sophia antipolis university, algebra, linear_algebra, mathematics, vector_space, dimension, matrix, rank, determinant