Annual Investment Allowance - assets introduced?

When starting a business (Sole Trader) and introducing tools and equipment, can I claim the market value of the assets introduced against the AIA ?

Looking at different websites there is some confusion, an excerpt from business link under AIA exclusions says:

• plant and machinery previously used for another purpose - for example, a computer used at home and introduced into your business

Also HMRC website seems to say pretty much anything is deemed as plant and machinery, apart from where trade is conducted in the asset, therfore there is no reason "tools and equipment" would be excluded, assuming the expenditure is indeed for assets?