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Please answer all question from 6 to 10 in detail. Linear Algebra I

12236. For the map represented by1454with respect to the standard bases, find the:1010. Find the inverse of the matrixN101 by augmenting it with the identity matrix and performingrow operations. Then find the inverse by finding the cofactors/adjoint.(a) dimension of the domain(b) dimension of the codomain(c) dimension of the range space7. Reduce the matrix123 111to echelon form by multiplying by elementary reduction matrices.48. Use change of basis matrices to convert the map represented by4.5 6.5with respect to thestandard bases to one with respect to B = ((7) , ( )> and D - <(;). (3)09. Find the determinant of the matrix1401using row operations. Then find the determinantby expanding by cofactors.

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