4. Consider the following matrix A, where -2 4 -2 4 A = 2 -6 -3 1 -3 8 2 -3 Find bases for and dimensions of Nul(A) and Col(A).

Q: Find the transpose of the Attached matrices

A: Transpose of a matrix is obtained by interchanging the rows into columns and columns into rows.

Q: Let A = 2 1 54 Write 5A. Is det(5A) equal to 5det(A)? 5A= (Type an integer or decimal for each…

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Q: Write y as the sum of two orthogonal vectors, one in Span {u} and one orthogonal to u. 7 3. Let y =…

A: Find the orthogonal projection of the vector y on u., which will give the y^. Then to find z,…

Q: to B=101 t00 select all true •If AB =Ithen BA=I AB=I 'AB=I but nut BA=I "BA-I inone of these %3D

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Q: 6. Let A be a 2x 2 matrix such that (a) The above equations can be written in the form A -1 0 -1 0 B…

A: The objective is to find the matrix B. heck whether the matrix B is diagonalizable or not and also…

Q: True or False: Let A be an n × n matrix over C, then det(A¯) = det(A), where A¯ i,j = Ai,j . Here,…

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Q: Find an example of a 2 x 2 matrix A such that A? + I2, A3 + I2, and A6 = I2. Explain how you know,…

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Q: Find the matrix B such that 2AT+3B=0.

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Q: If A is 4 by 4 and invertible, describe the nullspace of the 4 by 8 matrix B = [ A A].

A: Given that A is 4×4 and invertible matrix. To describe the null space of the 4×8 matrix B=AA. Null…

Q: 3. Consider the matrix A -1 4 -3 4 -3 1 -2 0 3 (a) Find matrices P and D that give a diagonalization…

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Q: 3. Determine the last column so that the resulting matrix is an orthogonal matrix: 1/√2 1/√2 0 1/√6…

A: The given matrix is .To determine the elements of the last column so that the matrix is orthogonal.

Q: Consider the inverse A- of matrix A [1 2 A = [ 2 1 4 li 0 2 -2 а12 -5 A-1 = |a21 1 -2 %3D 1 -2 азз…

A: NOTE: Refresh your page if you can't see any equations. . find the inverse matrix