True or false: If V is an invariant subspace for the n ×n matrix A and W is an invariant subspac

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Step 1: u000AUnderstand the definition of an invariant subspace. A subspace $V$ of $u005Cmathbb{R}^n$ (o

True or false: If $V$ is an invariant subspace for the $n \times n$ matrix $A$ and $W$ is an invariant subspace for the $n \times n$ matrix $B$, then $V+W$ is an invariant subspace for the matrix $A+B$.