Consider the following linear equations: -5x + 5y +7z : 3 = 5 -5x+(21-k)y + 6z -5x + 5y + (11- k)z =k+11 a) X1 Suppose the above equation is expressed as Ax = b with x = X2 X3 equations in one matrix form as (Alb)= -5 5 7 1:24 -5 -5 Express the coefficients of the 3

Suppose B and D are the following two bases for P2: B=|4x²-4x-2, ³-4x−2, 3x²-x, −3x−3] D= [−3x−3, x²+x+1» x²+1} Find the change matrix PD-B- 000 000 0 0 0 PD-B =

2 and u = 4 Write as the sum of two orthogonal vectors, one in Span {u} and one orthogonal to u. Let y = - 8 y=ý+z=D+0 (Type an integer or simplified fraction for each matrix element. List the terms in the same order as they appear in the original list.)

solve all 132

find(2a12 + 7a14)C12 + (2a22 + 7a24)C22 + (2a32 + 7a34)C32 + (2a42 + 7a44)C42 .without computing the cofactors entering this expression. Here aij is theentry of matrix A standing in the i-th row and j-th column of the matrixA; Cij is the cofactor of aij .   Please ee image below for matrix A   Please show full work.   Thank you!

Consider the system of linear equations given by:2x1+ x2− 3x3=8−x2​+ 2x3​=−4 9x1​+ 4x2​− x3​=9 Write the system in matrix form Ax=B. Calculate the determinant of matrix A (∣A∣)

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