MathAlgebraLinear algebraLinear operators

Intersection and sums of subspaces

The Grassmann formula

Report a typo

Is the following statement true or false?
"If the sum of the dimensions of two linear subspaces of an $n$ -dimensional space is greater than $n$ , then these subspaces have a common non-zero vector?"

Tip: Use the Grassmann formula.

Select one option from the list

This situation cannot exist.

This statement is true.

This statement is false.

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