-2 -8 -31 A = -3 -8 -29 24 90 (a) Compute det(A) = (b) Use Cramer's rule to solve the following system -2 x1 8 x2 31 x3 4 - - -3 х1 8 x2 29 хз -2 - 6 x1 24 x2 + 90 x3 X1 = X2 = X3 = I| || ||

Q: 6. State two ways to determine whether or not an n x n matrix A is invertible.

A: To Do: State two ways to determine whether or not an n×n matrix A is invertible. Also, solve…

Q: Using the property of determinants, prove that |1 bc a(b+c)| 1 1 ab c(a+ b)| 2) ca b(c +a)| = 0

A:

Q: Suppose A is a 2x2 invertible Martix. Is the following statement true or false?  The determinant a A…

A:

Q: Use only column interganges od row interchanges to produce a triangular determinant and find the…

A:

Q: Confirm the following identity without evaluating the determinant directly a₁ b₁+ta₁ c₁ +rb₁+sa₁ a2…

A:

Q: If A has the characteristic polynomial −x3+2x2−4x+3 then the determinant of A is 3. TRUE OR…

A:

Q: Compute the determinants using cofactor expansion along the first row and along the first column.

A: Now co factors of first row are

Q: Let-[:] and v-[³] u= v= Compute the area of the parallelogram determined by u, v, u + v, and 0, and…

A:

Q: Evaluate the determinant of the given matrix function. A(t) = | 2e* 5e 2t -5r

A:

Q: Find the Jacobian determinant to the test the existence of functional dependence between these three…

A:

Q: Determinar si los ángulos son coterminal 70, 430

A: In trigonometry, two angles in standard position are said to be coterminal if they share the same…

Q: If A= then determinant (A) =1 Select one: O True False

A:

Q: Why Wronskian determinant W(a) = |X(a)| is nonzero?

A: A Wronskian is a mathematical tool that is used to check for linear independence of solutions of…