let a be an n n matrix over f. if a is diagonalizable over f and has only two distinct eigenvalues 1 and -1, show that a^2=in, where in is an n n identity matrix.Compute det(A), where A = [3 -1 2 -5, 0 5 -3 -6, 0 5 -3 -6, -...
CIs an identity matrix DIs an orthogonal matrixSubmit If A is a singular matrix then Adj is Anon singular Bsingular Csymmetric Dskew symmetricSubmit If A is a non-singular matrix, then AA−1 is a non-singular matrix, then BA−1is skew-symmetric if A is symmetric C∣∣A−1∣∣...
where |A| is the determinant of A and In is the identity matrix of the same order as A. 2. Taking the Determinant: Taking the determinant on both sides of the equation: |A⋅adjA|=||A|In| We can use the property of determinants that states |XY|=|X|⋅|Y|: |A|⋅|adjA...
If A is a 3×3 matrix and |adjA|=16 then |A| = View Solution A is a 3×3 matrix and |A|=2 then |adj(adj(adjA))|= View Solution Knowledge Check If A is a singular matrix, then A adj (A) AIs a scalar matrix Bis a zero matrix CIs an identity matrix DIs an orthogonal ...
If A is a2×2non singular matrix, then adj(adj A) is equal to : View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium ...
If A is a non singular square matrix; thenadj(adjA)=|A|n−2A View Solution IfAis a3×3non-singular matrix,then adj(adjA) is equal to View Solution If A is a non-singular matrix of order n, thenA(adjA)= View Solution
The matrix⎡⎢⎣100020004⎤⎥⎦is a View Solution A=⎡⎢⎣1000110−24⎤⎥⎦,I=⎡⎢⎣100010001⎤⎥⎦ A−1=16(A2+CA+DI)then C and D equal to View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
If A is a2×2non singular matrix, then adj(adj A) is equal to : View Solution Assertion: adj A is a no singular matrix., Reason: A is a no singular matix. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct...