Let ![a = [ ll 3&7 2&5 ] b = [ ll 6&8 7&9 ]](https://static.insightsonindia.in/ncertusercontent/solutions/?domain=gF&l=PROJ28781/1554209794065194.png)
. Verify that (AB)–1 = B–1 A–1.
We have AB = 
= (61)(67)-(47)(87) = -2
Here determinant of matrix = |AB|≠ 0 hence (AB)-1 exists.
Also |A| = 1 ≠ 0 and |B| = -2 ≠ 0.
∴ A-1 and B-1 will also exist and are given by-
And hence,
{Hence proved}
12
Let . Verify that (AB)–1 = B–1 A–1.
We have AB = = (61)(67)-(47)(87) = -2
Here determinant of matrix = |AB|≠ 0 hence (AB)-1 exists.
Also |A| = 1 ≠ 0 and |B| = -2 ≠ 0.
∴ A-1 and B-1 will also exist and are given by-
And hence,
{Hence proved}