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# Live Problems - Stage 3, 4 & 5

### Flipping Twisty MatricesLive

### A Powerful MatrixLive

### Square PairLive

### Two and Four Dimensional NumbersLive

### Fix Me or Crush MeLive

### Matrix MeaningLive

### Transformations for 10Live

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Each time students visit the NRICH site there will be some activities which are 'live'. That means we are inviting students to send us their solutions and we will publish a selection of them, along with their name and school's name. If you'd like to know more about what we're looking for, read this short article.

The last day for sending in solutions to these live problems is Monday 27 November.

Age 14 to 18

Challenge Level

Investigate the transformations of the plane given by the 2 by 2 matrices with entries taking all combinations of values 0, -1 and +1.

Age 14 to 18

Challenge Level

What happens when you find the powers of this matrix?

Age 14 to 18

Challenge Level

Explore the shape of a square after it is transformed by the action of a matrix.

Age 16 to 18

Challenge Level

Matrices and Complex Numbers combine to enable us to create four dimensional numbers.

Age 16 to 18

Challenge Level

Can you make matrices which will fix one lucky vector and crush another to zero?

Age 16 to 18

Challenge Level

Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.

Age 16 to 18

Challenge Level

Explore the properties of matrix transformations with these 10 questions.