A-Level Further Maths: C3-12 Matrices: Successive Transformations

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[@IsItBehindTheFridge]

Thankyou. This was really helpful. 🥰

[@joshplayz474]

So P then Q would be different to Q then P right, since matrices are usually not commutative?

[@ritabrataghosh3349]

Consider a rectangular cartesian coordinate system, where its axes is rotated counterclockwise through an angle of 90° about the z-axis. Next consider a counterclockwise rotation through 90° about the x-axis. i. Illustrate this transformation due to successive rotations with a schematic diagram. ii. If 𝜆1is the rotation matrix for the first transformation and 𝜆2 is for the second rotation, find both of these matrices. Also, find the final transformation matrix, 𝜆3 in terms of 𝜆1 and 𝜆2. iii. On changing the order of rotations, will it result in the same transformation? Justify. Hey TL maths, can u pls help me with this successive transformation matrix problem.

[@swapnan1542]

suceesive transformation and sucessive position r same?

[@TLMaths]

Sorry, I don't understand the question?

[@swapnan1542]

@TL Maths what is sucessive position multiplication in matrices???

[@swapnan1542]

How to do indicated matrix multiplication??

[@TLMaths]

I assume you're talking about finding where a point is mapped to after two or more matrix transformations? You can either pre-multiply your coordinates by the first matrix transformation, and then pre-multiply by the 2nd, OR multiply the two matrices together first and then pre-multiply your coordinates by this combined matrix.

[@swapnan1542]

Can I have your email Id so that I can share my questions to u