Given det(A)=-13
Hence det(3A)= 3^3*det(A)
Since the matrix A is of order 3X3
Hence,
det(3A) = 27*-13
=-351
can you show full step about it thx. 4 -2 then det (AT 4A-1) is equal to 2. If A 3 -2
True or False det(AB) det(BA) det(A B) det(A) + det(B) det(CA) c det(A) = C det((AB)T) det(A) det(B) det(B) => A = B det(A) det(A) det(A) A triangular matrix is nonsingular if and only if its diagonal entries are all nonzero.
Let A. B, C, D є Mnxn(F), and det(A) 0, AC-CA. Prove that A B det ( )) -det(AD CB)
3. Let det(A) = 3 and det B = –2. Find the indicated determinants: (a) det(AB) (b) det(B-1A) (c) det(AAT) (d) det(3BT)
9. Given det(A5x5)-3, find det(A3), det(5A), det(2AT), det(3A-1). 9. Given det(A5x5)-3, find det(A3), det(5A), det(2AT), det(3A-1).
Гa b c] Let A = d e f . Assume that det(A) = -11, find Igni Ta gol (a) det(2A) (b) det(A-1) c) det(3A-1) (a) det((3A) – 1) (e) detone (a) det(2A) = Click here to enter or edit your answer - 22 (b) det (A-1) = Click here to enter or edit your answer (c) det(3A-1) = Click here to enter or edit your answer (d) det((3A)-1) = Click here to enter or edit your answer a gol...
a. Compute det \(\mathrm{AB}\).det \(\mathrm{AB}=\square\) (Type an integer or a fraction.)b. Compute det \(5 \mathrm{~A}\).det \(5 \mathrm{~A}=\square\) (Type an integer or a fraction.)c. Compute det \(\mathrm{B}^{\top}\).\(\operatorname{det} \mathrm{B}^{\top}=\square\) (Type an integer or a fraction.)d. Compute \(\operatorname{det} A^{-1}\).\(\operatorname{det} \mathrm{A}^{-1}=\square\) (Type an integer or a simplified fraction.)e. Compute det \(\mathrm{A}^{3}\).det \(\mathrm{A}^{3}=\square\) (Type an integer or a fraction.)
Let A and B be 3x3 matrices, with det A=9 and det B = - 6. Use properties of determinants to complete parts (a) through (e) below. a. Compute det AB. det AB = (Type an integer or a fraction.) b. Compute det 5A. det 5A = (Type an integer or a fraction.) c. Compute det BT. det BT = (Type an integer or a fraction.) d. Compute det A-7. - 1 det A (Type an integer or a simplified...
2. A property of determinants states, det(AB) = det(A) det(B). Let A be a singular, diagonalizable matrix. What does this property imply about the matrices P, P/, and D? Explain what this means in the context transformation matrices.
Show that: (a) det(A) - (b) det (A2) [det (A)2