The following measured data with a given nominal length for two gauge blocks of the same material are presented below:

• Measurements:z1= (100 + 9 x 10-5) mm,z2= (100 + 5 x 10-5) mm;
• Uncertainty of measurements:u(z1) =u(z2)= u(z) = 5 x 10-5mm;
• Temperatures:t1= 20.5?C,t2= ?C;
• Uncertainty of temperatures:u(t1) =u(t2) =u(t) = 0.1?C;
• c= 10-5m/k;u(c) = 10-6m/k.

What can a variance matrixVLassociated with their lengthsL= (L1,L2)Tfor the given data tell us? What are the dimensions of this variance matrixVL? Discuss the uncertainties associated withL1+-L2

The following measured data with a given nominal length for two gauge blocks of the same material are presented below: . Measurements: 21 = (100 + 9 x 10-5) mm, z2 = (100 + 5 x 10-5) mm; . Uncertainty of measurements: u(z1) = u(z2) = u(z) = 5 x 10-5 mm; . Temperatures: t1 = 20.5.C, t2 = =C; . Uncertainty of temperatures: u(t1) = u(t2) = u(t) = 0.1.C; . c= 10-5m/k; u(c) = 10"m/k. What can a variance matrix V associated with their lengths L = (L1. L2) for the given data tell us? What are the dimensions of this variance matrix Vi? Discuss the uncertainties associated with Lit L2