### Some articles on *map, transpose, transpose map*:

Transpose of Linear Maps

... If f V → W is a linear

... If f V → W is a linear

**map**between vector spaces V and W with nondegenerate bilinear forms, we define the**transpose**of f to be the linear**map**tf W → V, determined by Here, BV and BW are the bilinear forms on V ... The matrix of the**transpose**of a**map**is the transposed matrix only if the bases are orthonormal with respect to their bilinear forms ... The**transpose**of a**map**between such spaces is defined similarly, and the matrix of the**transpose map**is given by the conjugate**transpose**matrix if the bases are orthonormal ...### Famous quotes containing the words map and/or transpose:

“Unless, governor, teacher inspector, visitor,

This *map* becomes their window and these windows

That open on their lives like crouching tombs

Break, O break open,”

—Stephen Spender (1909–1995)

“We have to *transpose* ourselves into this impressionability of mind, into this sensitivity to tears and spiritual repentance, into this susceptibility, before we can judge how colorful and intensive life was then.”

—Johan Huizinga (1872–1945)

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