Abstract: Embodiments of the present disclosure include systems and methods for transposing matrices based on a multi-level crossbar. A system may include a memory configured to store a matrix comprising a plurality of elements arranged in a set of rows and a set of columns. A system may include an input buffer configured to retrieve a subset of a plurality of elements from the memory. Each element in the subset of the plurality of elements is retrieved from a different column in the matrix. A system may include a multi-level crossbar configured to perform a transpose operation on the subset of the plurality of elements. A system may include an output buffer configured to receive the transposed subset of the plurality of elements and store, in the memory, each element in the transposed subset of the plurality of elements in a different column in the matrix.