It's because bank hold investible assets like bonds, stocks, treasuries, money market instruments etc. There are several reasons why bank price fall, mainly:
1) Malaysian economy not doing well
Banks give out loans and profit from interest revenue less interest expense. When economy is in bad shape, the likelihood of these loans turning bad/defaulting becomes higher. Hence, profit is reduced. Lower profit means lower EPS which means lower EPS growth which means lower share price.
There is a new MFRS standard implemented few years ago that requires banks to impair loans based on expected credit loss. This means banks now need to recognise more provisions in advance, lowering profits further. This is why bank share price did not return to their highs 5+ years ago.
2) Global economy not doing well
Same explanation as above. Let's say Maybank invest in US stocks. Now US stocks fell. This impacts Maybank's balance sheet i.e. their profit from investment fell.
3) Potential rate cut
When economy tanks, the central bank may try to lower interest rate to increase spending. Remember that bank's profit is the net of interest revenue and interest expense. Now interest revenue is affected because banks charge lower interest.