If A is a square matrix of order 5 and 9A−1=4AT then |adj (adj (adj A))I (where A−T and adj(A) denotes the inverse, transpose and adjoint of matrix A respectively) contains: (log3=0.477,log2=0.303)
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If A=[21−132−4] and B=⎣⎡1−35−204⎦⎤ then verify that (AB)′=B′A′
The table shows a five-day forecast indicating high (H) and Low(L) temperatures in Fahrenheit. Organise the temperatures in a matrix where the first and second rows represent the High and Low temperatures respectively and identify which day will be the warmest?
If A=∣∣00p10q01r∣∣ and I is the identity matrix of order 3, then show thatA3=pI+qA+rA2.
If 2x−y=[33−3302] and 2y+x=[4−1145−4], then find x and y
If [x+20 y−3 4] is a scalar matrix, find x and y.
Construct a 2×2 matrix A=[aij], whose element aij is aij=2∣−3i+j∣.
A matrix denotes a number.
If A= , then number of elements in A are