Suppose that the matrix below represents the augmented matrix for a

system of linear equations. Determine "a" for which the system is consistent.​

given the system :

a₁₁ x₁ + a₁₂ x₂ = b₁

a₂₁ x₁ + a₂₂ x₂ = b₂

_{if the determinant of A = is 9.9,}

_{determinant of A1 = is 1.3,}

_{and determinant of A2 = is 8.1,}

_{find X2}

Let A =

C is the cofactor matrix of A: C =

find C23

find the determinant of A =

given the system of 3 linear equations :

4X₁ + 8X₂ + 1X₃ = 3

2X₁ + 9X₂ + 7X₃ = 4

1X₁ + 2X₂ + 4X₃ = 2

what is the 2nd row of the matrix A_x2, used in cramer's rule to calculate the value of X₂?

Let A, B and C

be 5x5

find det(-2A³.B.C^T)

find the determinant of A =

Let A, B and C

be 4x4

find det(det(C)A².(B^-1)³.C^T)

given the system :

a11X₁ + a12X₂ + a13X₃ = b1

a21X₁ + a22X₂ + a23X₃ = b2

a31X₁ + a32X₂ + a33X₃ = b3

_{if the determinant of A = is 9.2,}

_{determinant of A1 = is -4,}

 _{determinant of A2 = is -5.9,}

_{and determinant of A3 = is 5,}

_{find X2}

find the determinant of A =