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If you really want to study Linear algebra read Gilbert Strang book which will really help not in the gate only but in MTech/MS/Ph.D. also (of course you may skip some topics/chapters which are not relevant to the gate).
For Calculus just read any jee std books.

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For linear Algebra read advanced engineering mathematics by erwin kreyszig  7.1 - 7.7 and 8.1 - 8.3

For Calculua study basic material from class 12

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