Let B = {1, cos t, cos? t, cos t, cost t} and C = {1, cos t, cos 2t, cos 3t, cos 4t} and assume the following identities: %3D cos 2t = -1 + 2 cos? t cos 3t = -3 cos t + 4 cos t cos 4t = 1 - 8 cos? t + 8 cost Let H = Span(B). Calculate Pg-c and Pc-B and use them to express cos? t, cos t, cost t in terms of 1, cos t, cos 2t, cos 3t, cos 4t.

Q: Q4: Using Cayley - Hamilton theorem to find the inverse of the matrix A, where 1 1 2 A = 3 1 1 2 3 1

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Q: explain why the following matrix does not have an inverse A=√125 352

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A: Given:  A=104040158 To find the real canonical form of a given matrix.

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Q: Find the LU factorization of the following matrix: 203 1 3 1 01 1

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Q: GIVEN THE EQUATION 1 の 15 31 3 0 A 3. 6 ニ WRITE A-' AS A PRODUCT OF ELEMENTARY MATRICES

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Q: Find the inverse of the matrix 2 2 2 -3 -3 !

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A: Step 1: Step 2: Step 3: Step 4:

Q: Find the inverse matrix. Must show work and label each step as a linear combination of row…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.