Do we need to normalize data before using matlab machine learning classifier especially SVM?

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i al currently exploring machine learning using matlab. My question is do i need to normalize the data between 0-1 before start training with machine learning classifier expecially SVM?
For example the image below, we notice that the data are between -5.2 to 6.5 for "X" and -6.4 to 5.6 for "Y". so do i need to normalize the data from 0 to 1 first before start to train with machine learning classifier such as SVM?
Besides, i do notice that SVM does have kernal function properties such as gaussian. Does it mean that using kernal function alone is sufficient to ovveride the normalization process?
Hope someone could help clarify the confusion. many thanks.

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